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1157405051 = 11229499661
BaseRepresentation
bin100010011111100…
…1001100101111011
32222122212021020202
41010333021211323
54332243430201
6310503112415
740452531515
oct10477114573
92878767222
101157405051
11544363600
1228374270b
13155a2c77a
14ada02bb5
156b924c6b
hex44fc997b

1157405051 has 24 divisors (see below), whose sum is σ = 1320690000. Its totient is φ = 1012334400.

The previous prime is 1157405021. The next prime is 1157405059. The reversal of 1157405051 is 1505047511.

It is not a de Polignac number, because 1157405051 - 26 = 1157404987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1157405059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750661 + ... + 1751321.

It is an arithmetic number, because the mean of its divisors is an integer number (55028750).

Almost surely, 21157405051 is an apocalyptic number.

1157405051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1157405051 is the 15215-th centered decagonal number.

1157405051 is a deficient number, since it is larger than the sum of its proper divisors (163284949).

1157405051 is a wasteful number, since it uses less digits than its factorization.

1157405051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 29.

The square root of 1157405051 is about 34020.6562399963. The cubic root of 1157405051 is about 1049.9334957123.

The spelling of 1157405051 in words is "one billion, one hundred fifty-seven million, four hundred five thousand, fifty-one".

Divisors: 1 11 29 121 319 499 661 3509 5489 7271 14471 19169 60379 79981 159181 210859 329839 1750991 2319449 3628229 9565331 39910519 105218641 1157405051