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232478049648 = 243136112748091
BaseRepresentation
bin1101100010000011000…
…1011000010101110000
3211020001210110112221010
43120200301120111300
512302103340042043
6254444323230520
722540010550255
oct3304061302560
9736053415833
10232478049648
118a658886649
1239080518440
1318bcbbc9630
14b3756a542c
1560a98e0133
hex3620c58570

232478049648 has 160 divisors (see below), whose sum is σ = 662558482432. Its totient is φ = 69803596800.

The previous prime is 232478049569. The next prime is 232478049673. The reversal of 232478049648 is 846940874232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4810083 + ... + 4858173.

Almost surely, 2232478049648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232478049648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331279241216).

232478049648 is an abundant number, since it is smaller than the sum of its proper divisors (430080432784).

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

232478049648 is a wasteful number, since it uses less digits than its factorization.

232478049648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48303 (or 48297 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 232478049648 in words is "two hundred thirty-two billion, four hundred seventy-eight million, forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 127 156 183 208 244 254 312 366 381 488 508 624 732 762 793 976 1016 1464 1524 1586 1651 2032 2379 2928 3048 3172 3302 4758 4953 6096 6344 6604 7747 9516 9906 12688 13208 15494 19032 19812 23241 26416 30988 38064 39624 46482 48091 61976 79248 92964 96182 100711 123952 144273 185928 192364 201422 288546 302133 371856 384728 402844 577092 604266 625183 769456 805688 1154184 1208532 1250366 1611376 1875549 2308368 2417064 2500732 2933551 3751098 4834128 5001464 5867102 6107557 7502196 8800653 10002928 11734204 12215114 15004392 17601306 18322671 23468408 24430228 30008784 35202612 36645342 38136163 46936816 48860456 70405224 73290684 76272326 79398241 97720912 114408489 140810448 146581368 152544652 158796482 228816978 238194723 293162736 305089304 317592964 372560977 457633956 476389446 610178608 635185928 745121954 915267912 952778892 1117682931 1270371856 1490243908 1830535824 1905557784 2235365862 2980487816 3811115568 4470731724 4843292701 5960975632 8941463448 9686585402 14529878103 17882926896 19373170804 29059756206 38746341608 58119512412 77492683216 116239024824 232478049648