Search a number
-
+
9046048896 = 27343723581
BaseRepresentation
bin10000110110010111…
…11100000010000000
3212100102201220020000
420123023330002000
5122011242031041
64053344120000
7440112101253
oct103313740200
925312656200
109046048896
113922293475
121905606000
13b12184171
1461b5a109a
1537e275bb6
hex21b2fc080

9046048896 has 160 divisors (see below), whose sum is σ = 27649659180. Its totient is φ = 2933729280.

The previous prime is 9046048877. The next prime is 9046048919. The reversal of 9046048896 is 6988406409.

9046048896 is a `hidden beast` number, since 90 + 460 + 4 + 8 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8937055296 + 108993600 = 94536^2 + 10440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371826 + ... + 395406.

Almost surely, 29046048896 is an apocalyptic number.

9046048896 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 9046048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824829590).

9046048896 is an abundant number, since it is smaller than the sum of its proper divisors (18603610284).

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

9046048896 is a wasteful number, since it uses less digits than its factorization.

9046048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23644 (or 23623 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9046048896 is about 95110.7191435329. The cubic root of 9046048896 is about 2083.6254031535.

The spelling of 9046048896 in words is "nine billion, forty-six million, forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 648 666 864 888 999 1152 1184 1296 1332 1728 1776 1998 2368 2592 2664 2997 3456 3552 3996 4736 5184 5328 5994 7104 7992 10368 10656 11988 14208 15984 21312 23581 23976 31968 42624 47162 47952 63936 70743 94324 95904 127872 141486 188648 191808 212229 282972 377296 383616 424458 565944 636687 754592 848916 872497 1131888 1273374 1509184 1697832 1744994 1910061 2263776 2546748 2617491 3018368 3395664 3489988 3820122 4527552 5093496 5234982 6791328 6979976 7640244 7852473 9055104 10186992 10469964 13582656 13959952 15280488 15704946 20373984 20939928 23557419 27165312 27919904 30560976 31409892 40747968 41879856 47114838 55839808 61121952 62819784 70672257 81495936 83759712 94229676 111679616 122243904 125639568 141344514 167519424 188459352 244487808 251279136 282689028 335038848 376918704 502558272 565378056 753837408 1005116544 1130756112 1507674816 2261512224 3015349632 4523024448 9046048896