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41276975680656 = 2432432124512
BaseRepresentation
bin10010110001010100010110…
…11110010000110010010000
312102011001002101221212002100
421120222023132100302100
520402240221233240111
6223442214132520400
711460106636166562
oct1130521336206220
9172131071855070
1041276975680656
1112174515757371
124767907780100
131a0552c5695b1
14a29b5dc45332
154b8a9762b756
hex258a8b790c90

41276975680656 has 135 divisors (see below), whose sum is σ = 118276648016787. Its totient is φ = 13437935985600.

The previous prime is 41276975680649. The next prime is 41276975680723. The reversal of 41276975680656 is 65608657967214.

The square root of 41276975680656 is 6424716.

It is a perfect power (a square), and thus also a powerful number.

41276975680656 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 6 + 9 + 7 + 568 + 0 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 3315147231 + ... + 3315159681.

Almost surely, 241276975680656 is an apocalyptic number.

41276975680656 is the 6424716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41276975680656

41276975680656 is an abundant number, since it is smaller than the sum of its proper divisors (76999672336131).

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

41276975680656 is an frugal number, since it uses more digits than its factorization.

41276975680656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 41276975680656 in words is "forty-one trillion, two hundred seventy-six billion, nine hundred seventy-five million, six hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 11094 12451 14792 16641 22188 24902 29584 33282 37353 44376 49804 66564 74706 88752 99608 112059 133128 149412 199216 224118 266256 298824 448236 535393 597648 896472 1070786 1606179 1792944 2141572 3212358 4283144 4818537 6424716 8566288 9637074 12849432 19274148 23021899 25698864 38548296 46043798 69065697 77096592 92087596 138131394 155027401 184175192 207197091 276262788 310054802 368350384 414394182 465082203 552525576 620109604 828788364 930164406 1105051152 1240219208 1395246609 1657576728 1860328812 2480438416 2790493218 3315153456 3720657624 5580986436 6666178243 7441315248 11161972872 13332356486 19998534729 22323945744 26664712972 39997069458 53329425944 59995604187 79994138916 106658851888 119991208374 159988277832 239982416748 286645664449 319976555664 479964833496 573291328898 859936993347 959929666992 1146582657796 1719873986694 2293165315592 2579810980041 3439747973388 4586330631184 5159621960082 6879495946776 10319243920164 13758991893552 20638487840328 41276975680656