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85150556436 = 223112997229321
BaseRepresentation
bin100111101001101011…
…1100110000100010100
322010210021210110011110
41033103113212010110
52343342020301221
6103041223535020
76103052534061
oct1172327460424
9263707713143
1085150556436
11331262a63a0
12146048ba470
13805022894a
14419ac2bc68
152335764776
hex13d35e6114

85150556436 has 96 divisors (see below), whose sum is σ = 226533444480. Its totient is φ = 24656486400.

The previous prime is 85150556431. The next prime is 85150556459. The reversal of 85150556436 is 63465505158.

It is a happy number.

It is a super-2 number, since 2×851505564362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85150556431) 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, 256656 + ... + 485976.

It is an arithmetic number, because the mean of its divisors is an integer number (2359723380).

Almost surely, 285150556436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85150556436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113266722240).

85150556436 is an abundant number, since it is smaller than the sum of its proper divisors (141382888044).

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

85150556436 is a wasteful number, since it uses less digits than its factorization.

85150556436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229465 (or 229463 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 85150556436 in words is "eighty-five billion, one hundred fifty million, five hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 97 116 132 174 194 291 319 348 388 582 638 957 1067 1164 1276 1914 2134 2813 3201 3828 4268 5626 6402 8439 11252 12804 16878 30943 33756 61886 92829 123772 185658 229321 371316 458642 687963 917284 1375926 2522531 2751852 5045062 6650309 7567593 10090124 13300618 15135186 19950927 22244137 26601236 30270372 39901854 44488274 66732411 73153399 79803708 88976548 133464822 146306798 219460197 244685507 266929644 292613596 438920394 489371014 645079973 734056521 877840788 978742028 1290159946 1468113042 1935239919 2580319892 2936226084 3870479838 7095879703 7740959676 14191759406 21287639109 28383518812 42575278218 85150556436