Search a number
-
+
189691601040 = 24325263460557
BaseRepresentation
bin1011000010101010000…
…0000010000010010000
3200010121221012202112100
42300222200002002100
511101442022213130
6223050525200400
716463510001504
oct2605240020220
9603557182470
10189691601040
11734a1a66517
123091b400100
1314b70783016
149277000304
154e03498c60
hex2c2a802090

189691601040 has 60 divisors (see below), whose sum is σ = 637047629244. Its totient is φ = 50584426752.

The previous prime is 189691600991. The next prime is 189691601129. The reversal of 189691601040 is 40106196981.

189691601040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116480229264 + 73211371776 = 341292^2 + 270576^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 131729559 + ... + 131730998.

Almost surely, 2189691601040 is an apocalyptic number.

189691601040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189691601040 is an abundant number, since it is smaller than the sum of its proper divisors (447356028204).

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

189691601040 is a wasteful number, since it uses less digits than its factorization.

189691601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263460576 (or 263460567 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 189691601040 in words is "one hundred eighty-nine billion, six hundred ninety-one million, six hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 263460557 526921114 790381671 1053842228 1317302785 1580763342 2107684456 2371145013 2634605570 3161526684 3951908355 4215368912 4742290026 5269211140 6323053368 7903816710 9484580052 10538422280 11855725065 12646106736 15807633420 18969160104 21076844560 23711450130 31615266840 37938320208 47422900260 63230533680 94845800520 189691601040