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99681715152 = 2433503631727
BaseRepresentation
bin101110011010101111…
…1100100001111010000
3100112021222201210112000
41130311133210033100
53113122004341102
6113443153034000
710126130412225
oct1346537441720
9315258653460
1099681715152
1139302802a78
121739b255900
1395278ac106
144b78a8b94c
1528d631801c
hex17357e43d0

99681715152 has 160 divisors (see below), whose sum is σ = 287541596160. Its totient is φ = 33063085440.

The previous prime is 99681715033. The next prime is 99681715153. The reversal of 99681715152 is 25151718699.

It is a happy number.

99681715152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99681715153) 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, 137113413 + ... + 137114139.

It is an arithmetic number, because the mean of its divisors is an integer number (1797134976).

Almost surely, 299681715152 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 99681715152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143770798080).

99681715152 is an abundant number, since it is smaller than the sum of its proper divisors (187859881008).

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

99681715152 is a wasteful number, since it uses less digits than its factorization.

99681715152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 54.

The spelling of 99681715152 in words is "ninety-nine billion, six hundred eighty-one million, seven hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 503 631 727 1006 1262 1454 1509 1893 2012 2181 2524 2908 3018 3786 4024 4362 4527 5048 5679 5816 6036 6543 7572 8048 8724 9054 10096 11358 11632 12072 13086 13581 15144 17037 17448 18108 19629 22716 24144 26172 27162 30288 34074 34896 36216 39258 45432 52344 54324 68148 72432 78516 90864 104688 108648 136296 157032 217296 272592 314064 317393 365681 458737 634786 731362 917474 952179 1097043 1269572 1376211 1462724 1834948 1904358 2194086 2539144 2752422 2856537 2925448 3291129 3669896 3808716 4128633 4388172 5078288 5504844 5713074 5850896 6582258 7339792 7617432 8257266 8569611 8776344 9873387 11009688 11426148 12385899 13164516 15234864 16514532 17139222 17552688 19746774 22019376 22852296 24771798 26329032 33029064 34278444 39493548 45704592 49543596 52658064 66058128 68556888 78987096 99087192 137113776 157974192 198174384 230744711 461489422 692234133 922978844 1384468266 1845957688 2076702399 2768936532 3691915376 4153404798 5537873064 6230107197 8306809596 11075746128 12460214394 16613619192 24920428788 33227238384 49840857576 99681715152