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90065995272 = 233211412773651
BaseRepresentation
bin101001111100001011…
…0100000011000001000
322121110212001121121200
41103320112200120020
52433423343322042
6105213054504200
76335630220411
oct1237026403010
9277425047550
1090065995272
11352189a7340
1215556b05060
1386546bb036
14450599a808
152522065c4c
hex14f85a0608

90065995272 has 96 divisors (see below), whose sum is σ = 272594518560. Its totient is φ = 26627040000.

The previous prime is 90065995267. The next prime is 90065995277. The reversal of 90065995272 is 27259956009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90065995267) and next prime (90065995277).

It is a super-2 number, since 2×900659952722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90065995277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354354 + ... + 1419297.

It is an arithmetic number, because the mean of its divisors is an integer number (2839526235).

Almost surely, 290065995272 is an apocalyptic number.

It is an amenable number.

90065995272 is an abundant number, since it is smaller than the sum of its proper divisors (182528523288).

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

90065995272 is a wasteful number, since it uses less digits than its factorization.

90065995272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773715 (or 2773708 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 90065995272 in words is "ninety billion, sixty-five million, nine hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3608 4059 5412 8118 10824 16236 32472 2773651 5547302 8320953 11094604 16641906 22189208 24962859 30510161 33283812 49925718 61020322 66567624 91530483 99851436 113719691 122040644 183060966 199702872 227439382 244081288 274591449 341159073 366121932 454878764 549182898 682318146 732243864 909757528 1023477219 1098365796 1250916601 1364636292 2046954438 2196731592 2501833202 2729272584 3752749803 4093908876 5003666404 7505499606 8187817752 10007332808 11258249409 15010999212 22516498818 30021998424 45032997636 90065995272