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4097016768978 = 23472631817951
BaseRepresentation
bin111011100111101001001…
…110101010100111010010
3112111200010010212012120000
4323213221032222213102
51014111142243101403
612414051000030430
7601666615640100
oct73475116524722
915450103765500
104097016768978
11133a598180091
12562042762416
13239468545503
141024220c0c70
157188d3647a3
hex3b9e93aa9d2

4097016768978 has 120 divisors (see below), whose sum is σ = 10696122733824. Its totient is φ = 1168719678000.

The previous prime is 4097016768973. The next prime is 4097016768979. The reversal of 4097016768978 is 8798676107904.

4097016768978 is a `hidden beast` number, since 409 + 7 + 0 + 1 + 6 + 76 + 89 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (4097016768973) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4599903 + ... + 5417853.

Almost surely, 24097016768978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097016768978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348061366912).

4097016768978 is an abundant number, since it is smaller than the sum of its proper divisors (6599105964846).

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

4097016768978 is a wasteful number, since it uses less digits than its factorization.

4097016768978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818610 (or 818594 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 4097016768978 in words is "four trillion, ninety-seven billion, sixteen million, seven hundred sixty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 631 882 1134 1262 1323 1893 2646 3786 3969 4417 5679 7938 8834 11358 13251 17037 26502 30919 34074 39753 51111 61838 79506 92757 102222 119259 185514 238518 278271 357777 556542 715554 817951 834813 1635902 1669626 2453853 2504439 4907706 5008878 5725657 7361559 11451314 14723118 17176971 22084677 34353942 40079599 44169354 51530913 66254031 80159198 103061826 120238797 132508062 154592739 240477594 309185478 360716391 463778217 516127081 721432782 927556434 1032254162 1082149173 1548381243 2164298346 3096762486 3246447519 3612889567 4645143729 6492895038 7225779134 9290287458 10838668701 13935431187 21677337402 25290226969 27870862374 32516006103 41806293561 50580453938 65032012206 75870680907 83612587122 97548018309 151741361814 195096036618 227612042721 292644054927 455224085442 585288109854 682836128163 1365672256326 2048508384489 4097016768978