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88048467696 = 243738364433
BaseRepresentation
bin101001000000000011…
…0001111111011110000
322102021020201121002010
41102000012033323300
52420310401431241
6104240544122520
76234631425000
oct1220006177360
9272236647063
1088048467696
1134383078a82
1215093306440
1383c2717a37
144393a5c000
152454d8ed16
hex148018fef0

88048467696 has 160 divisors (see below), whose sum is σ = 268457817600. Its totient is φ = 24853226496.

The previous prime is 88048467671. The next prime is 88048467713. The reversal of 88048467696 is 69676484088.

It is a super-2 number, since 2×880484676962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1334296 + ... + 1398728.

It is an arithmetic number, because the mean of its divisors is an integer number (1677861360).

Almost surely, 288048467696 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 88048467696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134228908800).

88048467696 is an abundant number, since it is smaller than the sum of its proper divisors (180409349904).

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

88048467696 is a wasteful number, since it uses less digits than its factorization.

88048467696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64548 (or 64528 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 88048467696 in words is "eighty-eight billion, forty-eight million, four hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 83 84 98 112 147 166 168 196 249 294 332 336 343 392 498 581 588 664 686 784 996 1029 1162 1176 1328 1372 1743 1992 2058 2324 2352 2744 3486 3984 4067 4116 4648 5488 6972 8134 8232 9296 12201 13944 16268 16464 24402 27888 28469 32536 48804 56938 64433 65072 85407 97608 113876 128866 170814 193299 195216 227752 257732 341628 386598 451031 455504 515464 683256 773196 902062 1030928 1353093 1366512 1546392 1804124 2706186 3092784 3157217 3608248 5347939 5412372 6314434 7216496 9471651 10695878 10824744 12628868 16043817 18943302 21391756 21649488 22100519 25257736 32087634 37435573 37886604 42783512 44201038 50515472 64175268 66301557 74871146 75773208 85567024 88402076 112306719 128350536 132603114 149742292 151546416 176804152 224613438 256701072 262049011 265206228 299484584 353608304 449226876 524098022 530412456 598969168 786147033 898453752 1048196044 1060824912 1572294066 1796907504 1834343077 2096392088 3144588132 3668686154 4192784176 5503029231 6289176264 7337372308 11006058462 12578352528 14674744616 22012116924 29349489232 44024233848 88048467696