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48285102028928 = 278336371249631
BaseRepresentation
bin10101111101010010000000…
…10110101011100010000000
320022222000021210002002121112
422332221000112223202000
522312100342104411203
6250405511502142452
713112324561241422
oct1276510026534200
9208860253062545
1048285102028928
111442666233a416
1254b9b86b81a28
1320c335b64560b
14bcd023434812
1558b0164826d8
hex2bea405ab880

48285102028928 has 64 divisors (see below), whose sum is σ = 97378773246720. Its totient is φ = 23845099760640.

The previous prime is 48285102028879. The next prime is 48285102028939. The reversal of 48285102028928 is 82982020158284.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 38014673 + ... + 39264303.

It is an arithmetic number, because the mean of its divisors is an integer number (1521543331980).

Almost surely, 248285102028928 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 48285102028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48689386623360).

48285102028928 is an abundant number, since it is smaller than the sum of its proper divisors (49093671217792).

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

48285102028928 is a wasteful number, since it uses less digits than its factorization.

48285102028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253365 (or 1253353 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 59.

The spelling of 48285102028928 in words is "forty-eight trillion, two hundred eighty-five billion, one hundred two million, twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 3637 5312 7274 10624 14548 29096 58192 116384 232768 301871 465536 603742 1207484 1249631 2414968 2499262 4829936 4998524 9659872 9997048 19319744 19994096 38639488 39988192 79976384 103719373 159952768 207438746 414877492 829754984 1659509968 3319019936 4544907947 6638039872 9089815894 13276079744 18179631788 36359263576 72718527152 145437054304 290874108608 377227359601 581748217216 754454719202 1508909438404 3017818876808 6035637753616 12071275507232 24142551014464 48285102028928