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42018693552 = 243211171560409
BaseRepresentation
bin100111001000100000…
…100110000110110000
311000110100120210110100
4213020200212012300
51142023241143202
631145250232400
73015156000513
oct471040460660
9130410523410
1042018693552
1116902503420
128187b85700
133c683734a4
142068730d7a
15115dd3d41c
hex9c88261b0

42018693552 has 120 divisors (see below), whose sum is σ = 135830569680. Its totient is φ = 11983933440.

The previous prime is 42018693547. The next prime is 42018693557. The reversal of 42018693552 is 25539681024.

42018693552 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 8 + 6 + 93 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (42018693547) and next prime (42018693557).

It is a junction number, because it is equal to n+sod(n) for n = 42018693498 and 42018693507.

It is not an unprimeable number, because it can be changed into a prime (42018693557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753277 + ... + 807132.

It is an arithmetic number, because the mean of its divisors is an integer number (1131921414).

Almost surely, 242018693552 is an apocalyptic number.

It is an amenable number.

42018693552 is an abundant number, since it is smaller than the sum of its proper divisors (93811876128).

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

42018693552 is a wasteful number, since it uses less digits than its factorization.

42018693552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560451 (or 1560442 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 42018693552 in words is "forty-two billion, eighteen million, six hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 1560409 3120818 4681227 6241636 9362454 12483272 14043681 17164499 18724908 24966544 26526953 28087362 34328998 37449816 51493497 53053906 56174724 68657996 74899632 79580859 102986994 106107812 112349448 137315992 154480491 159161718 205973988 212215624 224698896 238742577 274631984 291796483 308960982 318323436 411947976 424431248 477485154 583592966 617921964 636646872 823895952 875389449 954970308 1167185932 1235843928 1273293744 1750778898 1909940616 2334371864 2471687856 2626168347 3501557796 3819881232 4668743728 5252336694 7003115592 10504673388 14006231184 21009346776 42018693552