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61897929311328 = 25311313187269851
BaseRepresentation
bin11100001001011101111000…
…00101101100010001100000
322010011101101010020010211120
432010232330011230101200
531103113424400430303
6335351303254212240
716015656251050665
oct1604567405542140
9263141333203746
1061897929311328
11187a4845469840
126b38297354080
13286cc46608956
14113dc39149a6c
15725191b6d553
hex384bbc16c460

61897929311328 has 96 divisors (see below), whose sum is σ = 177819466188672. Its totient is φ = 18697021824000.

The previous prime is 61897929311293. The next prime is 61897929311359. The reversal of 61897929311328 is 82311392979816.

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

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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, 93304398 + ... + 93965453.

It is an arithmetic number, because the mean of its divisors is an integer number (1852286106132).

Almost surely, 261897929311328 is an apocalyptic number.

It is an amenable number.

61897929311328 is an abundant number, since it is smaller than the sum of its proper divisors (115921536877344).

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

61897929311328 is a wasteful number, since it uses less digits than its factorization.

61897929311328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187270188 (or 187270180 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 69.

The spelling of 61897929311328 in words is "sixty-one trillion, eight hundred ninety-seven billion, nine hundred twenty-nine million, three hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 313 352 528 626 939 1056 1252 1878 2504 3443 3756 5008 6886 7512 10016 10329 13772 15024 20658 27544 30048 41316 55088 82632 110176 165264 330528 187269851 374539702 561809553 749079404 1123619106 1498158808 2059968361 2247238212 2996317616 4119936722 4494476424 5992635232 6179905083 8239873444 8988952848 12359810166 16479746888 17977905696 24719620332 32959493776 49439240664 58615463363 65918987552 98878481328 117230926726 175846390089 197756962656 234461853452 351692780178 468923706904 644770096993 703385560356 937847413808 1289540193986 1406771120712 1875694827616 1934310290979 2579080387972 2813542241424 3868620581958 5158160775944 5627084482848 7737241163916 10316321551888 15474482327832 20632643103776 30948964655664 61897929311328