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94100000256 = 293285923773
BaseRepresentation
bin101011110100011001…
…1000000111000000000
322222212222202022010200
41113220303000320000
53020204100002011
6111121241325200
76540612543033
oct1275063007000
9288788668120
1094100000256
11369a8aa6a59
12162a1a96800
138b48387632
1447a964301a
1526ab2a6856
hex15e8cc0e00

94100000256 has 120 divisors (see below), whose sum is σ = 271906566360. Its totient is φ = 31328833536.

The previous prime is 94100000243. The next prime is 94100000273. The reversal of 94100000256 is 65200000149.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3946386 + ... + 3970158.

It is an arithmetic number, because the mean of its divisors is an integer number (2265888053).

Almost surely, 294100000256 is an apocalyptic number.

94100000256 is a gapful number since it is divisible by the number (96) 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 94100000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135953283180).

94100000256 is an abundant number, since it is smaller than the sum of its proper divisors (177806566104).

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

94100000256 is a wasteful number, since it uses less digits than its factorization.

94100000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24656 (or 24637 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 94100000256 in words is "ninety-four billion, one hundred million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 859 1152 1536 1718 2304 2577 3436 4608 5154 6872 7731 10308 13744 15462 20616 23773 27488 30924 41232 47546 54976 61848 71319 82464 95092 109952 123696 142638 164928 190184 213957 219904 247392 285276 329856 380368 427914 439808 494784 570552 659712 760736 855828 989568 1141104 1319424 1521472 1711656 1979136 2282208 3042944 3423312 3958272 4564416 6085888 6846624 9128832 12171776 13693248 18257664 20421007 27386496 36515328 40842014 54772992 61263021 81684028 109545984 122526042 163368056 183789063 245052084 326736112 367578126 490104168 653472224 735156252 980208336 1306944448 1470312504 1960416672 2613888896 2940625008 3920833344 5227777792 5881250016 7841666688 10455555584 11762500032 15683333376 23525000064 31366666752 47050000128 94100000256