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42015005604 = 2232111337220579
BaseRepresentation
bin100111001000010010…
…100001101110100100
311000110002122102112200
4213020102201232210
51142021320134404
631145035214500
73015112440465
oct471022415644
9130402572480
1042015005604
1116900414630
1281868a7430
133c67681980
142068050d6c
15115d860839
hex9c84a1ba4

42015005604 has 144 divisors (see below), whose sum is σ = 128144627520. Its totient is φ = 11434763520.

The previous prime is 42015005597. The next prime is 42015005611. The reversal of 42015005604 is 40650051024.

42015005604 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 50 + 0 + 5 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (42015005597) and next prime (42015005611).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80187 + ... + 300765.

Almost surely, 242015005604 is an apocalyptic number.

42015005604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42015005604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64072313760).

42015005604 is an abundant number, since it is smaller than the sum of its proper divisors (86129621916).

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

42015005604 is a wasteful number, since it uses less digits than its factorization.

42015005604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220650 (or 220645 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42015005604 its reverse (40650051024), we get a palindrome (82665056628).

The spelling of 42015005604 in words is "forty-two billion, fifteen million, five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 37 39 44 52 66 74 78 99 111 117 132 143 148 156 198 222 234 286 333 396 407 429 444 468 481 572 666 814 858 962 1221 1287 1332 1443 1628 1716 1924 2442 2574 2886 3663 4329 4884 5148 5291 5772 7326 8658 10582 14652 15873 17316 21164 31746 47619 63492 95238 190476 220579 441158 661737 882316 1323474 1985211 2426369 2646948 2867527 3970422 4852738 5735054 7279107 7940844 8161423 8602581 9705476 11470108 14558214 16322846 17205162 21837321 24484269 25807743 29116428 31542797 32645692 34410324 43674642 48968538 51615486 63085594 73452807 87349284 89775653 94628391 97937076 103230972 106098499 126171188 146905614 179551306 189256782 212196998 269326959 283885173 293811228 318295497 359102612 378513564 424393996 538653918 567770346 636590994 807980877 954886491 1077307836 1135540692 1167083489 1273181988 1615961754 1909772982 2334166978 3231923508 3501250467 3819545964 4668333956 7002500934 10503751401 14005001868 21007502802 42015005604