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42074995424352 = 2531123797896181
BaseRepresentation
bin10011001000100010110010…
…01001111111110001100000
312111222022220202220011002220
421210101121021333301200
521003324042312034402
6225252552553311040
711601550416120612
oct1144213111776140
9174868822804086
1042074995424352
11124519a602a200
1248764baa05480
131a62869192477
14a566251b0db2
154ce701b5adbc
hex26445927fc60

42074995424352 has 144 divisors (see below), whose sum is σ = 124681360564656. Its totient is φ = 12405403929600.

The previous prime is 42074995424351. The next prime is 42074995424359. The reversal of 42074995424352 is 25342459947024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42074995424351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48518299 + ... + 49377882.

It is an arithmetic number, because the mean of its divisors is an integer number (865842781699).

Almost surely, 242074995424352 is an apocalyptic number.

It is an amenable number.

42074995424352 is an abundant number, since it is smaller than the sum of its proper divisors (82606365140304).

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

42074995424352 is a wasteful number, since it uses less digits than its factorization.

42074995424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97896253 (or 97896234 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 42074995424352 in words is "forty-two trillion, seventy-four billion, nine hundred ninety-five million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 121 132 148 176 222 242 264 296 352 363 407 444 484 528 592 726 814 888 968 1056 1184 1221 1452 1628 1776 1936 2442 2904 3256 3552 3872 4477 4884 5808 6512 8954 9768 11616 13024 13431 17908 19536 26862 35816 39072 53724 71632 107448 143264 214896 429792 97896181 195792362 293688543 391584724 587377086 783169448 1076857991 1174754172 1566338896 2153715982 2349508344 3132677792 3230573973 3622158697 4307431964 4699016688 6461147946 7244317394 8614863928 9398033376 10866476091 11845437901 12922295892 14488634788 17229727856 21732952182 23690875802 25844591784 28977269576 34459455712 35536313703 39843745667 43465904364 47381751604 51689183568 57954539152 71072627406 79687491334 86931808728 94763503208 103378367136 115909078304 119531237001 142145254812 159374982668 173863617456 189527006416 239062474002 284290509624 318749965336 347727234912 379054012832 438281202337 478124948004 568581019248 637499930672 876562404674 956249896008 1137162038496 1274999861344 1314843607011 1753124809348 1912499792016 2629687214022 3506249618696 3824999584032 5259374428044 7012499237392 10518748856088 14024998474784 21037497712176 42074995424352