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465936509364 = 223233281607977
BaseRepresentation
bin1101100011110111111…
…10101110100110110100
31122112122220202002122020
412301323332232212310
530113214221244424
6554014232233140
745443224661124
oct6617376564664
91575586662566
10465936509364
1116a66a015847
127637523b7b0
1334c25c64561
14187a1258c84
15c1c03e2079
hex6c7bfae9b4

465936509364 has 96 divisors (see below), whose sum is σ = 1098665358336. Its totient is φ = 153683927040.

The previous prime is 465936509359. The next prime is 465936509377. The reversal of 465936509364 is 463905639564.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 465936509298 and 465936509307.

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, 476904844 + ... + 476905820.

It is an arithmetic number, because the mean of its divisors is an integer number (11444430816).

Almost surely, 2465936509364 is an apocalyptic number.

It is an amenable number.

465936509364 is an abundant number, since it is smaller than the sum of its proper divisors (632728848972).

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

465936509364 is a wasteful number, since it uses less digits than its factorization.

465936509364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 60.

The spelling of 465936509364 in words is "four hundred sixty-five billion, nine hundred thirty-six million, five hundred nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 233 281 466 562 607 699 843 932 977 1124 1214 1398 1686 1821 1954 2428 2796 2931 3372 3642 3908 5862 7284 11724 65473 130946 141431 170567 196419 227641 261892 274537 282862 341134 392838 424293 455282 511701 549074 565724 593039 682268 682923 785676 823611 848586 910564 1023402 1098148 1186078 1365846 1647222 1697172 1779117 2046804 2372156 2731692 3294444 3558234 7116468 39742111 63967121 79484222 119226333 127934242 138178087 158968444 166643959 191901363 238452666 255868484 276356174 333287918 383802726 414534261 476905332 499931877 552712348 666575836 767605452 829068522 999863754 1658137044 1999727508 38828042447 77656084894 116484127341 155312169788 232968254682 465936509364