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42204056208 = 24331131317683
BaseRepresentation
bin100111010011100011…
…101100101010010000
311000221021101012012220
4213103203230222100
51142413214244313
631215511221040
73022566362436
oct472343545220
9130837335186
1042204056208
11169980a90a6
12821a077780
133c978a4232
1420851c2d56
151170255823
hex9d38eca90

42204056208 has 160 divisors (see below), whose sum is σ = 113927565312. Its totient is φ = 13447948800.

The previous prime is 42204056189. The next prime is 42204056263. The reversal of 42204056208 is 80265040224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61791835 + ... + 61792517.

Almost surely, 242204056208 is an apocalyptic number.

42204056208 is a gapful number since it is divisible by the number (48) 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 42204056208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963782656).

42204056208 is an abundant number, since it is smaller than the sum of its proper divisors (71723509104).

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

42204056208 is a wasteful number, since it uses less digits than its factorization.

42204056208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 42204056208 in words is "forty-two billion, two hundred four million, fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 317 372 393 496 524 634 683 744 786 951 1048 1268 1366 1488 1572 1902 2049 2096 2536 2732 3144 3804 4061 4098 5072 5464 6288 7608 8122 8196 9827 10928 12183 15216 16244 16392 19654 21173 24366 29481 32488 32784 39308 41527 42346 48732 58962 63519 64976 78616 83054 84692 89473 97464 117924 124581 127038 157232 166108 169384 178946 194928 216511 235848 249162 254076 268419 332216 338768 357892 433022 471696 498324 508152 536838 649533 664432 715784 866044 996648 1016304 1073676 1287337 1299066 1431568 1732088 1993296 2147352 2574674 2598132 2773663 3464176 3862011 4294704 5149348 5196264 5547326 6711841 7724022 8320989 10298696 10392528 11094652 13423682 15448044 16641978 20135523 20597392 22189304 26847364 28362941 30896088 33283956 40271046 44378608 53694728 56725882 61792176 66567912 80542092 85088823 107389456 113451764 133135824 161084184 170177646 226903528 322168368 340355292 453807056 680710584 879251171 1361421168 1758502342 2637753513 3517004684 5275507026 7034009368 10551014052 14068018736 21102028104 42204056208