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152331208209396 = 22343531331892493
BaseRepresentation
bin100010101000101101011111…
…100011011011001111110100
3201222100201110210222222020000
4202220231133203123033310
5124431243303300200041
61255551554014311300
744041365226452246
oct4250553743331764
9658321423888200
10152331208209396
11445a0336849a37
12151029854b8530
1366cca04700c78
142988c26ac2096
15129273e802bb6
hex8a8b5f8db3f4

152331208209396 has 60 divisors (see below), whose sum is σ = 399351981615972. Its totient is φ = 50633224975872.

The previous prime is 152331208209391. The next prime is 152331208209431. The reversal of 152331208209396 is 693902802133251.

152331208209396 is a `hidden beast` number, since 1 + 5 + 2 + 33 + 12 + 0 + 8 + 209 + 396 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44794723008996 + 107536485200400 = 6692886^2 + 10369980^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152331208209391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 665831875 + ... + 666060618.

Almost surely, 2152331208209396 is an apocalyptic number.

It is an amenable number.

152331208209396 is an abundant number, since it is smaller than the sum of its proper divisors (247020773406576).

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

152331208209396 is a wasteful number, since it uses less digits than its factorization.

152331208209396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331892862 (or 1331892851 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 152331208209396 in words is "one hundred fifty-two trillion, three hundred thirty-one billion, two hundred eight million, two hundred nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 28593 38124 57186 114372 1331892493 2663784986 3995677479 5327569972 7991354958 11987032437 15982709916 23974064874 35961097311 47948129748 71922194622 107883291933 143844389244 215766583866 431533167732 470158050029 940316100058 1410474150087 1880632200116 2820948300174 4231422450261 5641896600348 8462844900522 12694267350783 16925689801044 25388534701566 38082802052349 50777069403132 76165604104698 152331208209396