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10046128048 = 24112315311621
BaseRepresentation
bin10010101101100101…
…11011111110110000
3221221010120011220121
421112302323332300
5131033302044143
64340511220024
7503644452025
oct112662737660
927833504817
1010046128048
114295860770
121b44517614
13c4141b388
146b432d54c
153dbe707ed
hex256cbbfb0

10046128048 has 80 divisors (see below), whose sum is σ = 22185222912. Its totient is φ = 4362336000.

The previous prime is 10046127989. The next prime is 10046128049. The reversal of 10046128048 is 84082164001.

It is not an unprimeable number, because it can be changed into a prime (10046128049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6196678 + ... + 6198298.

Almost surely, 210046128048 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 10046128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092611456).

10046128048 is an abundant number, since it is smaller than the sum of its proper divisors (12139094864).

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

10046128048 is a wasteful number, since it uses less digits than its factorization.

10046128048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 10046128048 in words is "ten billion, forty-six million, one hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1531 1621 2024 3062 3242 4048 6124 6484 12248 12968 16841 17831 24496 25936 33682 35213 35662 37283 67364 70426 71324 74566 134728 140852 142648 149132 269456 281704 285296 298264 387343 410113 563408 596528 774686 820226 1549372 1640452 2481751 3098744 3280904 4963502 6197488 6561808 9927004 19854008 27299261 39708016 54598522 57080273 109197044 114160546 218394088 228321092 436788176 456642184 627883003 913284368 1255766006 2511532012 5023064024 10046128048