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151000442604 = 2232111920069171
BaseRepresentation
bin1000110010100001010…
…0111110011011101100
3112102202110222021010100
42030220110332123230
54433222103130404
6153211343311100
713623634404354
oct2145024763354
9472673867110
10151000442604
11590478a4520
12253218ab490
1311315912c2b
1474465b5b64
153ddb84bd39
hex232853e6ec

151000442604 has 72 divisors (see below), whose sum is σ = 438310716480. Its totient is φ = 43349407200.

The previous prime is 151000442597. The next prime is 151000442647. The reversal of 151000442604 is 406244000151.

151000442604 is a `hidden beast` number, since 1 + 5 + 10 + 0 + 0 + 4 + 42 + 604 = 666.

151000442604 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1510004426042 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 10027062 + ... + 10042109.

It is an arithmetic number, because the mean of its divisors is an integer number (6087648840).

Almost surely, 2151000442604 is an apocalyptic number.

It is an amenable number.

151000442604 is an abundant number, since it is smaller than the sum of its proper divisors (287310273876).

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

151000442604 is a wasteful number, since it uses less digits than its factorization.

151000442604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069211 (or 20069206 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 151000442604 its reverse (406244000151), we get a palindrome (557244442755).

The spelling of 151000442604 in words is "one hundred fifty-one billion, four hundred forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 20069171 40138342 60207513 80276684 120415026 180622539 220760881 240830052 361245078 381314249 441521762 662282643 722490156 762628498 883043524 1143942747 1324565286 1525256996 1986847929 2287885494 2649130572 3431828241 3973695858 4194456739 4575770988 6863656482 7947391716 8388913478 12583370217 13727312964 16777826956 25166740434 37750110651 50333480868 75500221302 151000442604