Search a number
-
+
1077724693408 = 25112278337989
BaseRepresentation
bin11111010111011010110…
…01011100001110100000
310211000210111010221121111
433223231121130032200
5120124140010142113
62143033324233104
7140602010513506
oct17535531341640
93730714127544
101077724693408
11386073547500
12154a5399b794
137a823bc2c9c
143a23ad40676
151d07a0e013d
hexfaed65c3a0

1077724693408 has 36 divisors (see below), whose sum is σ = 2332194018210. Its totient is φ = 489874858880.

The previous prime is 1077724693391. The next prime is 1077724693523. The reversal of 1077724693408 is 8043964277701.

It can be written as a sum of positive squares in only one way, i.e., 903845701264 + 173878992144 = 950708^2 + 416988^2 .

It is a super-2 number, since 2×10777246934082 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139165123 + ... + 139172866.

Almost surely, 21077724693408 is an apocalyptic number.

It is an amenable number.

1077724693408 is an abundant number, since it is smaller than the sum of its proper divisors (1254469324802).

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

1077724693408 is a wasteful number, since it uses less digits than its factorization.

1077724693408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278338021 (or 278338002 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 1077724693408 in words is "one trillion, seventy-seven billion, seven hundred twenty-four million, six hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 278337989 556675978 1113351956 2226703912 3061717879 4453407824 6123435758 8906815648 12246871516 24493743032 33678896669 48987486064 67357793338 97974972128 134715586676 269431173352 538862346704 1077724693408