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1148107964004 = 2232107216692
BaseRepresentation
bin10000101101010000100…
…100010011111001100100
311001202110121200112220100
4100231100210103321210
5122302311114322004
62235233350104100
7145643120450241
oct20552044237144
94052417615810
101148107964004
11402a01018431
1216661704b030
138435c872371
143d7d68045c8
151ece91ac739
hex10b50913e64

1148107964004 has 81 divisors (see below), whose sum is σ = 2931294608697. Its totient is φ = 378898836768.

The previous prime is 1148107963967. The next prime is 1148107964053. The reversal of 1148107964004 is 4004697018411.

The square root of 1148107964004 is 1071498.

It is a perfect power (a square), and thus also a powerful number.

1148107964004 is a `hidden beast` number, since 1 + 148 + 10 + 7 + 96 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 612459629604 + 535648334400 = 782598^2 + 731880^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 687900882 + ... + 687902550.

Almost surely, 21148107964004 is an apocalyptic number.

1148107964004 is the 1071498-th square number.

It is an amenable number.

1148107964004 is an abundant number, since it is smaller than the sum of its proper divisors (1783186644693).

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

1148107964004 is an equidigital number, since it uses as much as digits as its factorization.

1148107964004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1148107964004 in words is "one trillion, one hundred forty-eight billion, one hundred seven million, nine hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1669 1926 3338 3852 5007 6676 10014 11449 15021 20028 22898 30042 34347 45796 60084 68694 103041 137388 178583 206082 357166 412164 535749 714332 1071498 1607247 2142996 2785561 3214494 5571122 6428988 8356683 11142244 16713366 19108381 25070049 33426732 38216762 50140098 57325143 76433524 100280196 114650286 171975429 229300572 298055027 343950858 596110054 687901716 894165081 1192220108 1788330162 2682495243 3576660324 5364990486 10729980972 31891887889 63783775778 95675663667 127567551556 191351327334 287026991001 382702654668 574053982002 1148107964004