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156972964848 = 243719201112227
BaseRepresentation
bin1001001000110001010…
…0010101101111110000
3120000011201022211101220
42102030110111233300
510032440034333343
6200040135225040
714224636120560
oct2221424255760
9500151284356
10156972964848
1160632167917
1226509b18180
1311a580aaa6b
1478518b0da0
15413ad58183
hex248c515bf0

156972964848 has 160 divisors (see below), whose sum is σ = 488118282240. Its totient is φ = 42464321280.

The previous prime is 156972964847. The next prime is 156972964877. The reversal of 156972964848 is 848469279651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156972964847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12832111 + ... + 12844337.

It is an arithmetic number, because the mean of its divisors is an integer number (3050739264).

Almost surely, 2156972964848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156972964848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244059141120).

156972964848 is an abundant number, since it is smaller than the sum of its proper divisors (331145317392).

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

156972964848 is a wasteful number, since it uses less digits than its factorization.

156972964848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14275 (or 14269 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 156972964848 in words is "one hundred fifty-six billion, nine hundred seventy-two million, nine hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2011 2128 3192 4022 6033 6384 8044 12066 12227 14077 16088 24132 24454 28154 32176 36681 38209 42231 48264 48908 56308 73362 76418 84462 85589 96528 97816 112616 114627 146724 152836 168924 171178 195632 225232 229254 232313 256767 267463 293448 305672 337848 342356 458508 464626 513534 534926 586896 611344 675696 684712 696939 802389 917016 929252 1027068 1069852 1369424 1393878 1604778 1626191 1834032 1858504 2054136 2139704 2787756 3209556 3252382 3717008 4108272 4279408 4878573 5575512 6419112 6504764 9757146 11151024 12838224 13009528 19514292 24588497 26019056 39028584 49176994 73765491 78057168 98353988 147530982 172119479 196707976 295061964 344238958 393415952 467181443 516358437 590123928 688477916 934362886 1032716874 1180247856 1376955832 1401544329 1868725772 2065433748 2753911664 2803088658 3270270101 3737451544 4130867496 5606177316 6540540202 7474903088 8261734992 9810810303 11212354632 13081080404 19621620606 22424709264 26162160808 39243241212 52324321616 78486482424 156972964848