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153400316534364 = 223532696151145771
BaseRepresentation
bin100010111000010001001011…
…011000000001111001011100
3202010010221000210221001101110
4202320101023120001321130
5130101302322013044424
61302131044344142020
744211543563334264
oct4270211330017134
9663127023831343
10153400316534364
1144972788600289
1215256013767910
136779784473a93
1429c48875507a4
1512b0463244c29
hex8b844b601e5c

153400316534364 has 96 divisors (see below), whose sum is σ = 366105281794560. Its totient is φ = 49973687712000.

The previous prime is 153400316534317. The next prime is 153400316534369. The reversal of 153400316534364 is 463435613004351.

It is a happy number.

It is a super-2 number, since 2×1534003165343642 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153400316534369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052264799 + ... + 1052410569.

It is an arithmetic number, because the mean of its divisors is an integer number (3813596685360).

Almost surely, 2153400316534364 is an apocalyptic number.

It is an amenable number.

153400316534364 is an abundant number, since it is smaller than the sum of its proper divisors (212704965260196).

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

153400316534364 is a wasteful number, since it uses less digits than its factorization.

153400316534364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152251 (or 152249 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 153400316534364 in words is "one hundred fifty-three trillion, four hundred billion, three hundred sixteen million, five hundred thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 53 106 159 212 269 318 538 636 807 1076 1614 3228 6151 12302 14257 18453 24604 28514 36906 42771 57028 73812 85542 145771 171084 291542 326003 437313 583084 652006 874626 978009 1304012 1654619 1749252 1956018 3309238 3912036 4963857 6618476 7725863 9927714 15451726 19855428 23177589 30903452 39212399 46355178 78424798 87694807 92710356 117637197 156849596 175389614 235274394 263084421 350779228 470548788 526168842 896637421 1052337684 1793274842 2078257147 2689912263 3586549684 4156514294 5379824526 6234771441 8313028588 10759649052 12469542882 24939085764 47521783313 95043566626 142565349939 190087133252 241195466249 285130699878 482390932498 570261399756 723586398747 964781864996 1447172797494 2894345594988 12783359711197 25566719422394 38350079133591 51133438844788 76700158267182 153400316534364