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52551414656416 = 25135031047723971
BaseRepresentation
bin10111111001011100101000…
…11001110010110110100000
320220001212101102221222202101
423330232110121302312200
523342000244123001131
6303433441524100144
714032500021236164
oct1374562431626640
9226055342858671
1052551414656416
1115820a25619755
125a88996534654
132342766c85720
14cd9705856ca4
15611eb2402c61
hex2fcb94672da0

52551414656416 has 96 divisors (see below), whose sum is σ = 111655927813248. Its totient is φ = 24202959252480.

The previous prime is 52551414656387. The next prime is 52551414656537. The reversal of 52551414656416 is 61465641415525.

It is a happy number.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2192279311 + ... + 2192303281.

It is an arithmetic number, because the mean of its divisors is an integer number (1163082581388).

Almost surely, 252551414656416 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 52551414656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55827963906624).

52551414656416 is an abundant number, since it is smaller than the sum of its proper divisors (59104513156832).

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

52551414656416 is a wasteful number, since it uses less digits than its factorization.

52551414656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34974 (or 34966 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 55.

The spelling of 52551414656416 in words is "fifty-two trillion, five hundred fifty-one billion, four hundred fourteen million, six hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 503 1006 2012 4024 6539 8048 10477 13078 16096 20954 23971 26156 41908 47942 52312 83816 95884 104624 136201 167632 191768 209248 272402 311623 335264 383536 544804 623246 767072 1089608 1246492 2179216 2492984 4358432 4985968 5269931 9971936 10539862 12057413 21079724 24114826 42159448 48229652 68509103 84318896 96459304 137018206 156746369 168637792 192918608 251144167 274036412 313492738 385837216 502288334 548072824 626985476 1004576668 1096145648 1253970952 2009153336 2192291296 2507941904 3264874171 4018306672 5015883808 6529748342 8036613344 13059496684 26118993368 52237986736 104475973472 126325516001 252651032002 505302064004 1010604128008 1642231708013 2021208256016 3284463416026 4042416512032 6568926832052 13137853664104 26275707328208 52551414656416