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85047863936 = 277731379491
BaseRepresentation
bin100111100110100111…
…1110110101010000000
322010112010120010112112
41033031033312222000
52343134223121221
6103023114514452
76100364626040
oct1171517665200
9263463503475
1085047863936
1133083335a62
1214596435a28
138034b81759
14418b339720
15232b72c15b
hex13cd3f6a80

85047863936 has 128 divisors (see below), whose sum is σ = 197741900160. Its totient is φ = 35683614720.

The previous prime is 85047863759. The next prime is 85047863981. The reversal of 85047863936 is 63936874058.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8956151 + ... + 8965641.

It is an arithmetic number, because the mean of its divisors is an integer number (1544858595).

Almost surely, 285047863936 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 85047863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98870950080).

85047863936 is an abundant number, since it is smaller than the sum of its proper divisors (112694036224).

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

85047863936 is a wasteful number, since it uses less digits than its factorization.

85047863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 85047863936 in words is "eighty-five billion, forty-seven million, eight hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 137 146 224 274 292 448 511 548 584 896 959 1022 1096 1168 1918 2044 2192 2336 3836 4088 4384 4672 7672 8176 8768 9344 9491 10001 15344 16352 17536 18982 20002 30688 32704 37964 40004 61376 65408 66437 70007 75928 80008 122752 132874 140014 151856 160016 265748 280028 303712 320032 531496 560056 607424 640064 692843 1062992 1120112 1214848 1280128 1300267 1385686 2125984 2240224 2600534 2771372 4251968 4480448 4849901 5201068 5542744 8503936 8960896 9101869 9699802 10402136 11085488 18203738 19399604 20804272 22170976 36407476 38799208 41608544 44341952 72814952 77598416 83217088 88683904 94919491 145629904 155196832 166434176 189838982 291259808 310393664 379677964 582519616 620787328 664436437 759355928 1165039232 1328872874 1518711856 2657745748 3037423712 5315491496 6074847424 10630982992 12149694848 21261965984 42523931968 85047863936