Search a number
-
+
10657554992 = 247731303517
BaseRepresentation
bin10011110110011110…
…10110001000110000
31000111202001212222222
421323033112020300
5133311313224432
64521312220212
7525050502620
oct117317261060
930452055888
1010657554992
114579a03897
12209523a668
13100acb8176
1473160c880
15425999112
hex27b3d6230

10657554992 has 40 divisors (see below), whose sum is σ = 23922162336. Its totient is φ = 4504951296.

The previous prime is 10657554967. The next prime is 10657555019. The reversal of 10657554992 is 29945575601.

10657554992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106575549922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643583 + ... + 659934.

Almost surely, 210657554992 is an apocalyptic number.

It is an amenable number.

10657554992 is an abundant number, since it is smaller than the sum of its proper divisors (13264607344).

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

10657554992 is a wasteful number, since it uses less digits than its factorization.

10657554992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303605 (or 1303599 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 53.

The spelling of 10657554992 in words is "ten billion, six hundred fifty-seven million, five hundred fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 1303517 2607034 5214068 9124619 10428136 18249238 20856272 36498476 72996952 95156741 145993904 190313482 380626964 666097187 761253928 1332194374 1522507856 2664388748 5328777496 10657554992