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199029500152 = 23717474448183
BaseRepresentation
bin1011100101011100010…
…1010010100011111000
3201000201201010011222121
42321113011102203320
511230103023001102
6231233300531024
720244064560250
oct2712705224370
9630651104877
10199029500152
1177453a6730a
12326a66b0a74
13159cb240602
1498c1252960
15529d16db37
hex2e571528f8

199029500152 has 64 divisors (see below), whose sum is σ = 461187717120. Its totient is φ = 78572686848.

The previous prime is 199029500147. The next prime is 199029500179. The reversal of 199029500152 is 251005920991.

199029500152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1990295001522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199029500099 and 199029500108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179348 + ... + 2268835.

It is an arithmetic number, because the mean of its divisors is an integer number (7206058080).

Almost surely, 2199029500152 is an apocalyptic number.

It is an amenable number.

199029500152 is an abundant number, since it is smaller than the sum of its proper divisors (262158216968).

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

199029500152 is a wasteful number, since it uses less digits than its factorization.

199029500152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448260 (or 4448256 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 43.

The spelling of 199029500152 in words is "one hundred ninety-nine billion, twenty-nine million, five hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1316 1598 2632 3196 5593 6392 11186 22372 44744 4448183 8896366 17792732 31137281 35585464 62274562 75619111 124549124 151238222 209064601 249098248 302476444 418129202 529333777 604952888 836258404 1058667554 1463452207 1672516808 2117335108 2926904414 3554098217 4234670216 5853808828 7108196434 11707617656 14216392868 24878687519 28432785736 49757375038 99514750076 199029500152