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151456656 = 243132361173
BaseRepresentation
bin10010000011100…
…00101110010000
3101112222210110210
421001300232100
5302233103111
623010124120
73516234411
oct1101605620
9345883423
10151456656
117854769a
1242880640
13254bbc30
1416187808
15d46b0a6
hex9070b90

151456656 has 160 divisors (see below), whose sum is σ = 449471232. Its totient is φ = 43591680.

The previous prime is 151456601. The next prime is 151456687. The reversal of 151456656 is 656654151.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 875386 + ... + 875558.

Almost surely, 2151456656 is an apocalyptic number.

151456656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151456656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224735616).

151456656 is an abundant number, since it is smaller than the sum of its proper divisors (298014576).

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

151456656 is a wasteful number, since it uses less digits than its factorization.

151456656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 151456656 is about 12306.7727694957. The cubic root of 151456656 is about 533.0436670092.

The spelling of 151456656 in words is "one hundred fifty-one million, four hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 61 69 78 92 104 122 138 156 173 183 184 208 244 276 299 312 346 366 368 488 519 552 598 624 692 732 793 897 976 1038 1104 1196 1384 1403 1464 1586 1794 2076 2249 2379 2392 2768 2806 2928 3172 3588 3979 4152 4209 4498 4758 4784 5612 6344 6747 7176 7958 8304 8418 8996 9516 10553 11224 11937 12688 13494 14352 15916 16836 17992 18239 19032 21106 22448 23874 26988 31659 31832 33672 35984 36478 38064 42212 47748 51727 53976 54717 63318 63664 67344 72956 84424 95496 103454 107952 109434 126636 137189 145912 155181 168848 190992 206908 218868 242719 253272 274378 291824 310362 411567 413816 437736 485438 506544 548756 620724 728157 823134 827632 875472 970876 1097512 1241448 1456314 1646268 1941752 2195024 2482896 2912628 3155347 3292536 3883504 5825256 6310694 6585072 9466041 11650512 12621388 18932082 25242776 37864164 50485552 75728328 151456656