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91576000116 = 223313148713291
BaseRepresentation
bin101010101001001011…
…0101101111001110100
322202101002101210212000
41111102112231321310
53000021424000431
6110022555255300
76421224105036
oct1252226557164
9282332353760
1091576000116
11359232a0327
12158b874a530
1388354a4123
14460a345c56
1525ae8d99e6
hex15525ade74

91576000116 has 96 divisors (see below), whose sum is σ = 239740892160. Its totient is φ = 30227839200.

The previous prime is 91576000111. The next prime is 91576000133. The reversal of 91576000116 is 61100067519.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91576000111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6883431 + ... + 6896721.

It is an arithmetic number, because the mean of its divisors is an integer number (2497300960).

Almost surely, 291576000116 is an apocalyptic number.

91576000116 is the 191391-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91576000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119870446080).

91576000116 is an abundant number, since it is smaller than the sum of its proper divisors (148164892044).

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

91576000116 is a wasteful number, since it uses less digits than its factorization.

91576000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13922 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 91576000116 in words is "ninety-one billion, five hundred seventy-six million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 487 524 786 974 1179 1461 1572 1948 2358 2922 3537 4383 4716 5844 7074 8766 13149 13291 14148 17532 26298 26582 39873 52596 53164 63797 79746 119619 127594 159492 191391 239238 255188 358857 382782 478476 574173 717714 765564 1148346 1435428 1722519 1741121 2296692 3445038 3482242 5223363 6472717 6890076 6964484 10446726 12945434 15670089 19418151 20893452 25890868 31340178 38836302 47010267 58254453 62680356 77672604 94020534 116508906 174763359 188041068 233017812 349526718 699053436 847925927 1695851854 2543777781 3391703708 5087555562 7631333343 10175111124 15262666686 22894000029 30525333372 45788000058 91576000116