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12456717522452 = 22721719533712523
BaseRepresentation
bin1011010101000100111000…
…1110010001011000010100
31122002211222001200010211222
42311101032032101120110
53113042324141204302
642254311555345512
72423653033625600
oct265211616213024
948084861603758
1012456717522452
113a729563282a5
1214922415b2298
136c48816cc5a8
14310ca06da500
15169063ccada2
hexb544e391614

12456717522452 has 144 divisors (see below), whose sum is σ = 28796415157440. Its totient is φ = 4670293275648.

The previous prime is 12456717522421. The next prime is 12456717522467. The reversal of 12456717522452 is 25422571765421.

It is a super-2 number, since 2×124567175224522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 12456717522394 and 12456717522403.

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 47 ways as a sum of consecutive naturals, for example, 1499063 + ... + 5211585.

It is an arithmetic number, because the mean of its divisors is an integer number (199975105260).

Almost surely, 212456717522452 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 12456717522452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14398207578720).

12456717522452 is an abundant number, since it is smaller than the sum of its proper divisors (16339697634988).

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

12456717522452 is a wasteful number, since it uses less digits than its factorization.

12456717522452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712630 (or 3712621 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 53.

The spelling of 12456717522452 in words is "twelve trillion, four hundred fifty-six billion, seven hundred seventeen million, five hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 53 68 76 98 106 119 133 196 212 238 266 323 371 476 532 646 742 833 901 931 1007 1292 1484 1666 1802 1862 2014 2261 2597 3332 3604 3724 4028 4522 5194 6307 7049 9044 10388 12614 14098 15827 17119 25228 28196 31654 34238 44149 49343 63308 68476 88298 98686 119833 176596 197372 239666 479332 838831 1677662 3355324 3712523 7425046 14850092 25987661 51975322 63112891 70537937 103950644 126225782 141075874 181913627 196763719 252451564 282151748 363827254 393527438 441790237 493765559 727654508 787054876 883580474 987531118 1199144929 1377346033 1767160948 1975062236 2398289858 2754692066 3092531659 3344983223 3456358913 3738510661 4796579716 5509384132 6185063318 6689966446 6912717826 7477021322 8394014503 9641422231 12370126636 13379932892 13825435652 14954042644 16788029006 19282844462 23414882561 26169574627 33576058012 38565688924 46829765122 52339149254 58758101521 63554681237 93659530244 104678298508 117516203042 127109362474 163904177927 183187022389 235032406084 254218724948 327808355854 366374044778 444882768659 655616711708 732748089556 889765537318 1779531074636 3114179380613 6228358761226 12456717522452