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85772460048 = 24311373491887
BaseRepresentation
bin100111111100001101…
…1111110000000010000
322012101122000102112120
41033320123332000100
52401130222210143
6103223041254240
76124343611122
oct1177033760020
9265348012476
1085772460048
1133415354820
1214759034380
13811c023252
144219677212
15237015c383
hex13f86fe010

85772460048 has 160 divisors (see below), whose sum is σ = 243137866752. Its totient is φ = 25840012800.

The previous prime is 85772460041. The next prime is 85772460049. The reversal of 85772460048 is 84006427758.

It is not an unprimeable number, because it can be changed into a prime (85772460041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96699061 + ... + 96699947.

Almost surely, 285772460048 is an apocalyptic number.

85772460048 is a gapful number since it is divisible by the number (88) 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 85772460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121568933376).

85772460048 is an abundant number, since it is smaller than the sum of its proper divisors (157365406704).

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

85772460048 is a wasteful number, since it uses less digits than its factorization.

85772460048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 85772460048 in words is "eighty-five billion, seven hundred seventy-two million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 373 491 528 746 887 982 1119 1473 1492 1774 1964 2238 2661 2946 2984 3548 3928 4103 4476 5322 5401 5892 5968 7096 7856 8206 8952 9757 10644 10802 11784 12309 14192 16203 16412 17904 19514 21288 21604 23568 24618 29271 32406 32824 39028 42576 43208 49236 58542 64812 65648 78056 86416 98472 117084 129624 156112 183143 196944 234168 259248 330851 366286 435517 468336 549429 661702 732572 871034 992553 1098858 1306551 1323404 1465144 1742068 1985106 2014573 2197716 2613102 2646808 2930288 3484136 3639361 3970212 4029146 4395432 4790687 5226204 5293616 6043719 6968272 7278722 7940424 8058292 8790864 9581374 10452408 10918083 12087438 14372061 14557444 15880848 16116584 19162748 20904816 21836166 24174876 28744122 29114888 32233168 38325496 43672332 48349752 57488244 58229776 76650992 87344664 96699504 114976488 162447841 174689328 229952976 324895682 487343523 649791364 974687046 1299582728 1786926251 1949374092 2599165456 3573852502 3898748184 5360778753 7147705004 7797496368 10721557506 14295410008 21443115012 28590820016 42886230024 85772460048