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1913688409464 = 2332132157272223
BaseRepresentation
bin11011110110010000101…
…101111100010101111000
320202221120020100202102200
4123312100231330111320
5222323213213100324
64023045240030200
7255154661042616
oct33662055742570
96687506322380
101913688409464
11678655243387
1226aa76462360
1310b5c9938200
14688a17966b6
1534ba5877ec9
hex1bd90b7c578

1913688409464 has 72 divisors (see below), whose sum is σ = 5612259313440. Its totient is φ = 588827199168.

The previous prime is 1913688409453. The next prime is 1913688409469. The reversal of 1913688409464 is 4649048863191.

1913688409464 is a `hidden beast` number, since 1 + 91 + 3 + 6 + 8 + 84 + 0 + 9 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913688409469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78623944 + ... + 78648279.

It is an arithmetic number, because the mean of its divisors is an integer number (77948046020).

Almost surely, 21913688409464 is an apocalyptic number.

It is an amenable number.

1913688409464 is an abundant number, since it is smaller than the sum of its proper divisors (3698570903976).

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

1913688409464 is a wasteful number, since it uses less digits than its factorization.

1913688409464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157272261 (or 157272241 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1913688409464 in words is "one trillion, nine hundred thirteen billion, six hundred eighty-eight million, four hundred nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 157272223 314544446 471816669 629088892 943633338 1258177784 1415450007 1887266676 2044538899 2830900014 3774533352 4089077798 5661800028 6133616697 8178155596 11323600056 12267233394 16356311192 18400850091 24534466788 26579005687 36801700182 49068933576 53158011374 73603400364 79737017061 106316022748 147206800728 159474034122 212632045496 239211051183 318948068244 478422102366 637896136488 956844204732 1913688409464