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7113201536 = 277231811907
BaseRepresentation
bin1101001111111101…
…01101011110000000
3200100201202002002202
412213332231132000
5104031434422121
63133500332332
7341162133620
oct64776553600
920321662082
107113201536
113020242661
1214662440a8
138948bc5bc
144b69c6880
152b972a40b
hex1a7fad780

7113201536 has 128 divisors (see below), whose sum is σ = 17001653760. Its totient is φ = 2898339840.

The previous prime is 7113201451. The next prime is 7113201583. The reversal of 7113201536 is 6351023117.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7113201499 and 7113201508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3729095 + ... + 3731001.

It is an arithmetic number, because the mean of its divisors is an integer number (132825420).

Almost surely, 27113201536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7113201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500826880).

7113201536 is an abundant number, since it is smaller than the sum of its proper divisors (9888452224).

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

7113201536 is a wasteful number, since it uses less digits than its factorization.

7113201536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 7113201536 is about 84339.7980552479. The cubic root of 7113201536 is about 1923.1878407652.

The spelling of 7113201536 in words is "seven billion, one hundred thirteen million, two hundred one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 181 184 224 322 362 368 448 644 724 736 896 1267 1288 1448 1472 1907 2534 2576 2896 2944 3814 4163 5068 5152 5792 7628 8326 10136 10304 11584 13349 15256 16652 20272 20608 23168 26698 29141 30512 33304 40544 43861 53396 58282 61024 66608 81088 87722 106792 116564 122048 133216 162176 175444 213584 233128 244096 266432 307027 345167 350888 427168 466256 532864 614054 690334 701776 854336 932512 1228108 1380668 1403552 1708672 1865024 2416169 2456216 2761336 2807104 3730048 4832338 4912432 5522672 5614208 7938841 9664676 9824864 11045344 15877682 19329352 19649728 22090688 31755364 38658704 39299456 44181376 55571887 63510728 77317408 111143774 127021456 154634816 222287548 254042912 309269632 444575096 508085824 889150192 1016171648 1778300384 3556600768 7113201536