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91087052472 = 23341371152293
BaseRepresentation
bin101010011010100110…
…1100001111010111000
322201010000100200210000
41110311031201322320
52443021241134342
6105502251353000
76403136112513
oct1246515417270
9281100320700
1091087052472
11356a22a2769
12157a0a52760
1387880bb8b0
1445a1429d7a
152581a0644c
hex1535361eb8

91087052472 has 160 divisors (see below), whose sum is σ = 278624918880. Its totient is φ = 27631860480.

The previous prime is 91087052359. The next prime is 91087052479. The reversal of 91087052472 is 27425078019.

It is a happy number.

91087052472 is a `hidden beast` number, since 9 + 108 + 70 + 5 + 2 + 472 = 666.

It is a super-2 number, since 2×910870524722 (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 (91087052479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 521958 + ... + 674250.

It is an arithmetic number, because the mean of its divisors is an integer number (1741405743).

Almost surely, 291087052472 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 91087052472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139312459440).

91087052472 is an abundant number, since it is smaller than the sum of its proper divisors (187537866408).

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

91087052472 is a wasteful number, since it uses less digits than its factorization.

91087052472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152395 (or 152382 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 91087052472 in words is "ninety-one billion, eighty-seven million, fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 81 104 108 117 142 156 162 213 216 234 284 312 324 351 426 468 568 639 648 702 852 923 936 1053 1278 1404 1704 1846 1917 2106 2556 2769 2808 3692 3834 4212 5112 5538 5751 7384 7668 8307 8424 11076 11502 15336 16614 22152 23004 24921 33228 46008 49842 66456 74763 99684 149526 152293 199368 299052 304586 456879 598104 609172 913758 1218344 1370637 1827516 1979809 2741274 3655032 3959618 4111911 5482548 5939427 7919236 8223822 10812803 10965096 11878854 12335733 15838472 16447644 17818281 21625606 23757708 24671466 32438409 32895288 35636562 43251212 47515416 49342932 53454843 64876818 71273124 86502424 97315227 98685864 106909686 129753636 140566439 142546248 160364529 194630454 213819372 259507272 281132878 291945681 320729058 389260908 421699317 427638744 562265756 583891362 641458116 778521816 843398634 875837043 1124531512 1167782724 1265097951 1282916232 1686797268 1751674086 2335565448 2530195902 3373594536 3503348172 3795293853 5060391804 7006696344 7590587706 10120783608 11385881559 15181175412 22771763118 30362350824 45543526236 91087052472