Search a number
-
+
10150245504 = 273271258711
BaseRepresentation
bin10010111010000000…
…00111010010000000
3222012101110220012200
421131000013102000
5131241430324004
64355110553200
7506350443330
oct113500072200
928171426180
1010150245504
114339604753
121b73368800
13c59b74039
146c40b30c0
153e618a239
hex25d007480

10150245504 has 96 divisors (see below), whose sum is σ = 33381042240. Its totient is φ = 2900067840.

The previous prime is 10150245499. The next prime is 10150245517. The reversal of 10150245504 is 40554205101.

10150245504 is a `hidden beast` number, since 1 + 0 + 150 + 2 + 4 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621292 + ... + 637419.

It is an arithmetic number, because the mean of its divisors is an integer number (347719190).

Almost surely, 210150245504 is an apocalyptic number.

10150245504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10150245504 is an abundant number, since it is smaller than the sum of its proper divisors (23230796736).

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

10150245504 is a wasteful number, since it uses less digits than its factorization.

10150245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258738 (or 1258723 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10150245504 in words is "ten billion, one hundred fifty million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1258711 2517422 3776133 5034844 7552266 8810977 10069688 11328399 15104532 17621954 20139376 22656798 26432931 30209064 35243908 40278752 45313596 52865862 60418128 70487816 79298793 80557504 90627192 105731724 120836256 140975632 158597586 161115008 181254384 211463448 241672512 281951264 317195172 362508768 422926896 483345024 563902528 634390344 725017536 845853792 1127805056 1268780688 1450035072 1691707584 2537561376 3383415168 5075122752 10150245504