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11434133704 = 2372367132499
BaseRepresentation
bin10101010011000011…
…10000100011001000
31002111212100011201111
422221201300203020
5141404114234304
65130333100104
7553230350530
oct125141604310
932455304644
1011434133704
1149382a7984
122271327634
131102b5a5b6
147a67dc4c0
1546dc46704
hex2a98708c8

11434133704 has 64 divisors (see below), whose sum is σ = 25948800000. Its totient is φ = 4617290304.

The previous prime is 11434133693. The next prime is 11434133731. The reversal of 11434133704 is 40733143411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20047 + ... + 152545.

It is an arithmetic number, because the mean of its divisors is an integer number (405450000).

Almost surely, 211434133704 is an apocalyptic number.

11434133704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11434133704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974400000).

11434133704 is an abundant number, since it is smaller than the sum of its proper divisors (14514666296).

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

11434133704 is a wasteful number, since it uses less digits than its factorization.

11434133704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132602 (or 132598 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 11434133704 in words is "eleven billion, four hundred thirty-four million, one hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 938 1288 1541 1876 3082 3752 6164 10787 12328 21574 43148 86296 132499 264998 529996 927493 1059992 1854986 3047477 3709972 6094954 7419944 8877433 12189908 17754866 21332339 24379816 35509732 42664678 62142031 71019464 85329356 124284062 170658712 204180959 248568124 408361918 497136248 816723836 1429266713 1633447672 2858533426 5717066852 11434133704