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713520690467832 = 233213267875210597
BaseRepresentation
bin1010001000111100010111101…
…1010010111001001111111000
310110120100220121201200121120100
42202033011323102321033320
51222010310333224432312
611005310514031355400
7303202111604231232
oct24217057322711770
93416326551617510
10713520690467832
11197393475360aa5
126803910b682b60
13248199351b6100
14c82a82b187252
15577549d4115dc
hex288f17b4b93f8

713520690467832 has 144 divisors (see below), whose sum is σ = 2123768532894840. Its totient is φ = 216268039113984.

The previous prime is 713520690467707. The next prime is 713520690467867. The reversal of 713520690467832 is 238764096025317.

It is a happy number.

713520690467832 is a `hidden beast` number, since 7 + 1 + 3 + 5 + 2 + 0 + 6 + 90 + 467 + 83 + 2 = 666.

It is a super-2 number, since 2×7135206904678322 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 713520690467832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436790043 + ... + 438420554.

It is a 2-persistent number, because it is pandigital, and so is 2⋅713520690467832 = 1427041380935664, but 3⋅713520690467832 = 2140562071403496 is not.

Almost surely, 2713520690467832 is an apocalyptic number.

713520690467832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

713520690467832 is an abundant number, since it is smaller than the sum of its proper divisors (1410247842427008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

713520690467832 is a wasteful number, since it uses less digits than its factorization.

713520690467832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875210702 (or 875210682 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 713520690467832 in words is "seven hundred thirteen trillion, five hundred twenty billion, six hundred ninety million, four hundred sixty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 169 201 234 268 312 338 402 468 507 536 603 676 804 871 936 1014 1206 1352 1521 1608 1742 2028 2412 2613 3042 3484 4056 4824 5226 6084 6968 7839 10452 11323 12168 15678 20904 22646 31356 33969 45292 62712 67938 90584 101907 135876 203814 271752 407628 815256 875210597 1750421194 2625631791 3500842388 5251263582 7001684776 7876895373 10502527164 11377737761 15753790746 21005054328 22755475522 31507581492 34133213283 45510951044 58639109999 63015162984 68266426566 91021902088 102399639849 117278219998 136532853132 147910590893 175917329997 204799279698 234556439996 273065706264 295821181786 351834659994 409598559396 443731772679 469112879992 527751989991 591642363572 703669319988 762308429987 819197118792 887463545358 1055503979982 1183284727144 1331195318037 1407338639976 1524616859974 1774927090716 2111007959964 2286925289961 2662390636074 3049233719948 3549854181432 4222015919928 4573850579922 5324781272148 6098467439896 6860775869883 9147701159844 9910009589831 10649562544296 13721551739766 18295402319688 19820019179662 27443103479532 29730028769493 39640038359324 54886206959064 59460057538986 79280076718648 89190086308479 118920115077972 178380172616958 237840230155944 356760345233916 713520690467832