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11149456896 = 2934268843
BaseRepresentation
bin10100110001000111…
…10011011000000000
31001210000200002120000
422120203303120000
5140313230110041
65042203320000
7543202551144
oct123043633000
931700602500
1011149456896
114801639a96
1221b1b20000
131088b96296
1477aa97224
15453c62bb6
hex2988f3600

11149456896 has 100 divisors (see below), whose sum is σ = 33278316852. Its totient is φ = 3716471808.

The previous prime is 11149456867. The next prime is 11149456907. The reversal of 11149456896 is 69865494111.

11149456896 is a `hidden beast` number, since 1 + 1 + 1 + 494 + 5 + 68 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 92950 + ... + 175893.

Almost surely, 211149456896 is an apocalyptic number.

11149456896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11149456896 is an abundant number, since it is smaller than the sum of its proper divisors (22128859956).

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

11149456896 is an frugal number, since it uses more digits than its factorization.

11149456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268873 (or 268848 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 11149456896 in words is "eleven billion, one hundred forty-nine million, four hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 268843 537686 806529 1075372 1613058 2150744 2419587 3226116 4301488 4839174 6452232 7258761 8602976 9678348 12904464 14517522 17205952 19356696 21776283 25808928 29035044 34411904 38713392 43552566 51617856 58070088 68823808 77426784 87105132 103235712 116140176 137647616 154853568 174210264 206471424 232280352 309707136 348420528 412942848 464560704 619414272 696841056 929121408 1238828544 1393682112 1858242816 2787364224 3716485632 5574728448 11149456896