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880315882272 = 253661432
BaseRepresentation
bin11001100111101101110…
…10100101101100100000
310010011020201122022000000
430303312322211230200
5103410341331213042
61512224520300000
7120413022352131
oct14636672455440
93104221568000
10880315882272
1130a381402902
12122740011600
1365023680378
1430871049c88
1517d743aa74c
hexccf6ea5b20

880315882272 has 126 divisors (see below), whose sum is σ = 2598917211387. Its totient is φ = 293390859456.

The previous prime is 880315882261. The next prime is 880315882319. The reversal of 880315882272 is 272288513088.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

880315882272 is a `hidden beast` number, since 8 + 8 + 0 + 31 + 588 + 2 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440157941136 + 440157941136 = 663444^2 + 663444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=663444.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 143300833 + ... + 143306975.

Almost surely, 2880315882272 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 880315882272

880315882272 is an abundant number, since it is smaller than the sum of its proper divisors (1718601329115).

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

880315882272 is an frugal number, since it uses more digits than its factorization.

880315882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12314 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 880315882272 in words is "eight hundred eighty billion, three hundred fifteen million, eight hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 6143 7776 11664 12286 18429 23328 24572 36858 49144 55287 73716 98288 110574 147432 165861 196576 221148 294864 331722 442296 497583 589728 663444 884592 995166 1326888 1492749 1769184 1990332 2653776 2985498 3980664 4478247 5307552 5970996 7961328 8956494 11941992 15922656 17912988 23883984 35825976 37736449 47767968 71651952 75472898 113209347 143303904 150945796 226418694 301891592 339628041 452837388 603783184 679256082 905674776 1018884123 1207566368 1358512164 1811349552 2037768246 2717024328 3056652369 3622699104 4075536492 5434048656 6113304738 8151072984 9169957107 10868097312 12226609476 16302145968 18339914214 24453218952 27509871321 32604291936 36679828428 48906437904 55019742642 73359656856 97812875808 110039485284 146719313712 220078970568 293438627424 440157941136 880315882272