Search a number
-
+
10006014741132 = 2237345672501071
BaseRepresentation
bin1001000110011011010011…
…1101000100101010001100
31022102120021101000202112110
42101212310331010222030
52302414304233204012
633140411045504020
72051624241656604
oct221466475045214
938376241022473
1010006014741132
113208588513063
121157296112010
135777422b5b47
14268417c97c04
1512542cedd73c
hex919b4f44a8c

10006014741132 has 48 divisors (see below), whose sum is σ = 23672386368512. Its totient is φ = 3288927058560.

The previous prime is 10006014741131. The next prime is 10006014741167. The reversal of 10006014741132 is 23114741060001.

It is a self number, because there is not a number n which added to its sum of digits gives 10006014741132.

It is not an unprimeable number, because it can be changed into a prime (10006014741131) 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, 2750157 + ... + 5251227.

Almost surely, 210006014741132 is an apocalyptic number.

10006014741132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10006014741132 is an abundant number, since it is smaller than the sum of its proper divisors (13666371627380).

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

10006014741132 is a wasteful number, since it uses less digits than its factorization.

10006014741132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505718 (or 2505716 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10006014741132 in words is "ten trillion, six billion, fourteen million, seven hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 4567 9134 13701 18268 27402 54804 333391 666782 1000173 1333564 2000346 2501071 4000692 5002142 7503213 10004284 15006426 30012852 182578183 365156366 547734549 730312732 1095469098 2190938196 11422391257 22844782514 34267173771 45689565028 68534347542 137068695084 833834561761 1667669123522 2501503685283 3335338247044 5003007370566 10006014741132