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48185368192 = 2713137211369
BaseRepresentation
bin101100111000000100…
…100101111010000000
311121101010021022202101
4230320010211322000
51242140423240232
634045215400144
73324035605003
oct547004457200
9147333238671
1048185368192
1119487425345
129409223054
13470bb28ab0
14249172953a
1513c03eb1e7
hexb38125e80

48185368192 has 64 divisors (see below), whose sum is σ = 104133544200. Its totient is φ = 22076964864.

The previous prime is 48185368177. The next prime is 48185368193. The reversal of 48185368192 is 29186358184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34142170176 + 14043198016 = 184776^2 + 118504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48185368193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122284 + ... + 333652.

Almost surely, 248185368192 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 48185368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52066772100).

48185368192 is an abundant number, since it is smaller than the sum of its proper divisors (55948176008).

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

48185368192 is a wasteful number, since it uses less digits than its factorization.

48185368192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211533 (or 211521 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The spelling of 48185368192 in words is "forty-eight billion, one hundred eighty-five million, three hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 274 416 548 832 1096 1664 1781 2192 3562 4384 7124 8768 14248 17536 28496 56992 113984 211369 227968 422738 845476 1690952 2747797 3381904 5495594 6763808 10991188 13527616 21982376 27055232 28957553 43964752 57915106 87929504 115830212 175859008 231660424 351718016 376448189 463320848 752896378 926641696 1505792756 1853283392 3011585512 3706566784 6023171024 12046342048 24092684096 48185368192