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493935255632 = 247137920172129
BaseRepresentation
bin1110011000000001101…
…01011110000001010000
31202012221012022202222202
413030000311132001100
531043034411140012
61014524414422332
750454114254030
oct7140065360120
91665835282882
10493935255632
11180527636275
127b889b019a8
1337768833740
1419c9999d8c0
15ccad4abcc2
hex7300d5e050

493935255632 has 160 divisors (see below), whose sum is σ = 1193906918400. Its totient is φ = 192743276544.

The previous prime is 493935255623. The next prime is 493935255647. The reversal of 493935255632 is 236552539394.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 232002344 + ... + 232004472.

It is an arithmetic number, because the mean of its divisors is an integer number (7461918240).

Almost surely, 2493935255632 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 493935255632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596953459200).

493935255632 is an abundant number, since it is smaller than the sum of its proper divisors (699971662768).

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

493935255632 is a wasteful number, since it uses less digits than its factorization.

493935255632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its digits is 26244000, while the sum is 56.

The spelling of 493935255632 in words is "four hundred ninety-three billion, nine hundred thirty-five million, two hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 79 91 104 112 158 182 208 316 364 553 632 728 1027 1106 1264 1456 2017 2054 2129 2212 4034 4108 4258 4424 7189 8068 8216 8516 8848 14119 14378 14903 16136 16432 17032 26221 27677 28238 28756 29806 32272 34064 52442 55354 56476 57512 59612 104884 110708 112952 115024 119224 159343 168191 183547 193739 209768 221416 225904 238448 318686 336382 367094 387478 419536 442832 637372 672764 734188 774956 1115401 1177337 1274744 1345528 1468376 1549912 2071459 2186483 2230802 2354674 2549488 2691056 2936752 3099824 4142918 4294193 4372966 4461604 4709348 8285836 8588386 8745932 8923208 9418696 14500213 15305381 16571672 17176772 17491864 17846416 18837392 29000426 30059351 30610762 33143344 34353544 34983728 55824509 58000852 60118702 61221524 68707088 111649018 116001704 120237404 122443048 223298036 232003408 240474808 244886096 339241247 390771563 446596072 480949616 678482494 781543126 893192144 1356964988 1563086252 2374688729 2713929976 3126172504 4410136211 4749377458 5427859952 6252345008 8820272422 9498754916 17640544844 18997509832 30870953477 35281089688 37995019664 61741906954 70562179376 123483813908 246967627816 493935255632