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8557008096 = 253713275347
BaseRepresentation
bin1111111100000100…
…11001010011100000
3211002100112001100210
413332002121103200
5120011043224341
63533034214120
7422023240320
oct77602312340
924070461323
108557008096
1136a123191a
1217a9884340
13a64a68400
145b265d280
15351374c16
hex1fe0994e0

8557008096 has 144 divisors (see below), whose sum is σ = 27797986944. Its totient is φ = 2256763392.

The previous prime is 8557008079. The next prime is 8557008101. The reversal of 8557008096 is 6908007558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75895 + ... + 151241.

It is an arithmetic number, because the mean of its divisors is an integer number (193041576).

Almost surely, 28557008096 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 8557008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898993472).

8557008096 is an abundant number, since it is smaller than the sum of its proper divisors (19240978848).

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

8557008096 is a wasteful number, since it uses less digits than its factorization.

8557008096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75393 (or 75372 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 8557008096 is about 92504.0977254521. The cubic root of 8557008096 is about 2045.3798865844.

The spelling of 8557008096 in words is "eight billion, five hundred fifty-seven million, eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 75347 113568 150694 226041 301388 452082 527429 602776 904164 979511 1054858 1205552 1582287 1808328 1959022 2109716 2411104 2938533 3164574 3616656 3918044 4219432 5877066 6329148 6856577 7233312 7836088 8438864 11754132 12658296 12733643 13713154 15672176 16877728 20569731 23508264 25316592 25467286 27426308 31344352 38200929 41139462 47016528 50633184 50934572 54852616 76401858 82278924 89135501 94033056 101869144 109705232 152803716 164557848 178271002 203738288 219410464 267406503 305607432 329115696 356542004 407476576 534813006 611214864 658231392 713084008 1069626012 1222429728 1426168016 2139252024 2852336032 4278504048 8557008096