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616041066414132 = 22343182174706743
BaseRepresentation
bin1000110000010010010011110…
…0111011100100000000110100
32222210012221200010100222010000
42030010210330323210000310
51121221204101000223012
610022113205312231300
7243521332625120562
oct21404447473440064
92883187603328100
10616041066414132
11169320604919147
1259114a7683b530
1320598566c98c68
14ac1a792232a32
154b349964ceddc
hex230493cee4034

616041066414132 has 120 divisors (see below), whose sum is σ = 1664428006467072. Its totient is φ = 198480872145600.

The previous prime is 616041066414131. The next prime is 616041066414157. The reversal of 616041066414132 is 231414660140616.

616041066414132 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 41 + 0 + 66 + 414 + 132 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616041066414131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29107248 + ... + 45599495.

Almost surely, 2616041066414132 is an apocalyptic number.

616041066414132 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

616041066414132 is an abundant number, since it is smaller than the sum of its proper divisors (1048386940052940).

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

616041066414132 is a wasteful number, since it uses less digits than its factorization.

616041066414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74707611 (or 74707600 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 616041066414132 in words is "six hundred sixteen trillion, forty-one billion, sixty-six million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 821 837 1116 1642 1674 2463 2511 3284 3348 4926 5022 7389 9852 10044 14778 22167 25451 29556 44334 50902 66501 76353 88668 101804 133002 152706 229059 266004 305412 458118 687177 916236 1374354 2061531 2748708 4123062 8246124 74706743 149413486 224120229 298826972 448240458 672360687 896480916 1344721374 2017082061 2315909033 2689442748 4034164122 4631818066 6051246183 6947727099 8068328244 9263636132 12102492366 13895454198 20843181297 24204984732 27790908396 41686362594 61334236003 62529543891 83372725188 122668472006 125059087782 184002708009 187588631673 245336944012 250118175564 368005416018 375177263346 552008124027 736010832036 750354526692 1104016248054 1656024372081 1901361316093 2208032496108 3312048744162 3802722632186 4968073116243 5704083948279 6624097488324 7605445264372 9936146232486 11408167896558 17112251844837 19872292464972 22816335793116 34224503689674 51336755534511 68449007379348 102673511069022 154010266603533 205347022138044 308020533207066 616041066414132