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200968661127264 = 2533783681674879
BaseRepresentation
bin101101101100011110101001…
…101010000101000001100000
3222100120102020112102210120020
4231230132221222011001200
5202320132304222033024
61551231421155113440
760221335525122612
oct5554365152050140
9870512215383506
10200968661127264
115904236aa67318
121a6590a5ba2880
13881a356996c34
14378ad13ca2db2
1518379c93ad979
hexb6c7a9a85060

200968661127264 has 96 divisors (see below), whose sum is σ = 548328366673920. Its totient is φ = 64393735675392.

The previous prime is 200968661127173. The next prime is 200968661127341. The reversal of 200968661127264 is 462721166869002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 200968661127198 and 200968661127207.

It is a congruent number.

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, 340542624 + ... + 341132255.

It is an arithmetic number, because the mean of its divisors is an integer number (5711753819520).

Almost surely, 2200968661127264 is an apocalyptic number.

200968661127264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200968661127264 is an abundant number, since it is smaller than the sum of its proper divisors (347359705546656).

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

200968661127264 is a wasteful number, since it uses less digits than its factorization.

200968661127264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681675012 (or 681675004 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 200968661127264 in words is "two hundred trillion, nine hundred sixty-eight billion, six hundred sixty-one million, one hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 83 96 111 148 166 222 249 296 332 444 498 592 664 888 996 1184 1328 1776 1992 2656 3071 3552 3984 6142 7968 9213 12284 18426 24568 36852 49136 73704 98272 147408 294816 681674879 1363349758 2045024637 2726699516 4090049274 5453399032 8180098548 10906798064 16360197096 21813596128 25221970523 32720394192 50443941046 56579014957 65440788384 75665911569 100887882092 113158029914 151331823138 169737044871 201775764184 226316059828 302663646276 339474089742 403551528368 452632119656 605327292552 678948179484 807103056736 905264239312 1210654585104 1357896358968 1810528478624 2093423553409 2421309170208 2715792717936 4186847106818 5431585435872 6280270660227 8373694213636 12560541320454 16747388427272 25121082640908 33494776854544 50242165281816 66989553709088 100484330563632 200968661127264