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11378358144 = 27333292349
BaseRepresentation
bin10101001100011001…
…11111011110000000
31002100222101111001000
422212030333132000
5141300324430034
65121021412000
7551652306546
oct124614773600
932328344030
1011378358144
11490987197a
12225670a000
1310c442c3ca
1479d23dd96
15468dca599
hex2a633f780

11378358144 has 64 divisors (see below), whose sum is σ = 33581970000. Its totient is φ = 3792784896.

The previous prime is 11378358109. The next prime is 11378358149. The reversal of 11378358144 is 44185387311.

11378358144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×113783581442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11378358144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378358149) by changing a digit.

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, 1642719 + ... + 1649630.

Almost surely, 211378358144 is an apocalyptic number.

It is an amenable number.

11378358144 is an abundant number, since it is smaller than the sum of its proper divisors (22203611856).

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

11378358144 is an equidigital number, since it uses as much as digits as its factorization.

11378358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292372 (or 3292354 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11378358144 in words is "eleven billion, three hundred seventy-eight million, three hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3292349 6584698 9877047 13169396 19754094 26338792 29631141 39508188 52677584 59262282 79016376 88893423 105355168 118524564 158032752 177786846 210710336 237049128 316065504 355573692 421420672 474098256 632131008 711147384 948196512 1264262016 1422294768 1896393024 2844589536 3792786048 5689179072 11378358144