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42046106355 = 325111071097283
BaseRepresentation
bin100111001010001001…
…001010101011110011
311000112021011111202100
4213022021022223303
51142102300400410
631152105551443
73015641002311
oct471211125363
9130467144670
1042046106355
1116916a27030
1281951a5583
133c70c50996
14206c2290b1
1511614558c0
hex9ca24aaf3

42046106355 has 96 divisors (see below), whose sum is σ = 80995749120. Its totient is φ = 20007440640.

The previous prime is 42046106303. The next prime is 42046106359. The reversal of 42046106355 is 55360164024.

42046106355 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 6 + 10 + 635 + 5 = 666.

42046106355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42046106355 - 211 = 42046104307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42046106359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5769544 + ... + 5776826.

It is an arithmetic number, because the mean of its divisors is an integer number (843705720).

Almost surely, 242046106355 is an apocalyptic number.

42046106355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42046106355 is a deficient number, since it is larger than the sum of its proper divisors (38949642765).

42046106355 is a wasteful number, since it uses less digits than its factorization.

42046106355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42046106355 in words is "forty-two billion, forty-six million, one hundred six thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 107 109 165 321 327 495 535 545 963 981 1177 1199 1605 1635 3531 3597 4815 4905 5885 5995 7283 10593 10791 11663 17655 17985 21849 34989 36415 52965 53955 58315 65547 80113 104967 109245 128293 174945 240339 327735 384879 400565 524835 641465 721017 779281 793847 1154637 1201695 1924395 2337843 2381541 3605085 3896405 3969235 5773185 7013529 7144623 8572091 8732317 11689215 11907705 25716273 26196951 35067645 35723115 42860455 43661585 77148819 78590853 84941629 128581365 130984755 254824887 385744095 392954265 424708145 764474661 934357919 1274124435 2803073757 3822373305 4671789595 8409221271 14015368785 42046106355