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135738296424 = 23331743859669
BaseRepresentation
bin111111001101010100…
…0100000100001101000
3110222100211112220111000
41332122220200201220
54210443000441144
6142205102435000
712543502324353
oct1763250404150
9428324486430
10135738296424
1152625803175
1222382592a60
13ca52990ac3
1467d963329a
1537e6a04769
hex1f9aa20868

135738296424 has 128 divisors (see below), whose sum is σ = 408515184000. Its totient is φ = 41594176512.

The previous prime is 135738296399. The next prime is 135738296443. The reversal of 135738296424 is 424692837531.

135738296424 is a `hidden beast` number, since 1 + 3 + 57 + 3 + 82 + 96 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 271939 + ... + 587730.

It is an arithmetic number, because the mean of its divisors is an integer number (3191524875).

Almost surely, 2135738296424 is an apocalyptic number.

It is an amenable number.

135738296424 is an abundant number, since it is smaller than the sum of its proper divisors (272776887576).

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

135738296424 is a wasteful number, since it uses less digits than its factorization.

135738296424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859744 (or 859734 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 135738296424 in words is "one hundred thirty-five billion, seven hundred thirty-eight million, two hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 86 102 108 129 136 153 172 204 216 258 306 344 387 408 459 516 612 731 774 918 1032 1161 1224 1462 1548 1836 2193 2322 2924 3096 3672 4386 4644 5848 6579 8772 9288 13158 17544 19737 26316 39474 52632 78948 157896 859669 1719338 2579007 3438676 5158014 6877352 7737021 10316028 14614373 15474042 20632056 23211063 29228746 30948084 36965767 43843119 46422126 58457492 61896168 73931534 87686238 92844252 110897301 116914984 131529357 147863068 175372476 185688504 221794602 263058714 295726136 332691903 350744952 394588071 443589204 526117428 628418039 665383806 789176142 887178408 998075709 1052234856 1256836078 1330767612 1578352284 1885254117 1996151418 2513672156 2661535224 3156704568 3770508234 3992302836 5027344312 5655762351 7541016468 7984605672 11311524702 15082032936 16967287053 22623049404 33934574106 45246098808 67869148212 135738296424