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11434504365 = 3251916432069
BaseRepresentation
bin10101010011000110…
…01011000010101101
31002111220001000011200
422221203023002231
5141404213114430
65130345040113
7553233453264
oct125143130255
932456030150
1011434504365
114938530409
122271486039
131102c5a21b
147a68975db
1546dcbb460
hex2a98cb0ad

11434504365 has 48 divisors (see below), whose sum is σ = 19964206080. Its totient is φ = 6054111360.

The previous prime is 11434504357. The next prime is 11434504421. The reversal of 11434504365 is 56340543411.

11434504365 is a `hidden beast` number, since 1 + 143 + 4 + 504 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 11434504365 - 23 = 11434504357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5525551 + ... + 5527619.

It is an arithmetic number, because the mean of its divisors is an integer number (415920960).

Almost surely, 211434504365 is an apocalyptic number.

11434504365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11434504365 is a deficient number, since it is larger than the sum of its proper divisors (8529701715).

11434504365 is a wasteful number, since it uses less digits than its factorization.

11434504365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 11434504365 in words is "eleven billion, four hundred thirty-four million, five hundred four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 191 573 643 955 1719 1929 2069 2865 3215 5787 6207 8595 9645 10345 18621 28935 31035 93105 122813 368439 395179 614065 1105317 1185537 1330367 1842195 1975895 3556611 3991101 5526585 5927685 6651835 11973303 17783055 19955505 59866515 254100097 762300291 1270500485 2286900873 3811501455 11434504365