Search a number
-
+
90693877632 = 2731217194069
BaseRepresentation
bin101010001110111000…
…1101011111110000000
322200002121112100021220
41110131301223332000
52441220113041012
6105355244315040
76360323145261
oct1243561537600
9280077470256
1090693877632
1135510369686
12156b1242a80
1387247c9a67
144565120968
15255c24008c
hex151dc6bf80

90693877632 has 64 divisors (see below), whose sum is σ = 241104805200. Its totient is φ = 30206296064.

The previous prime is 90693877567. The next prime is 90693877657. The reversal of 90693877632 is 23677839609.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 370294 + ... + 564362.

Almost surely, 290693877632 is an apocalyptic number.

It is an amenable number.

90693877632 is an abundant number, since it is smaller than the sum of its proper divisors (150410927568).

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

90693877632 is a wasteful number, since it uses less digits than its factorization.

90693877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195303 (or 195291 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 90693877632 in words is "ninety billion, six hundred ninety-three million, eight hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1217 2434 3651 4868 7302 9736 14604 19472 29208 38944 58416 77888 116832 155776 194069 233664 388138 467328 582207 776276 1164414 1552552 2328828 3105104 4657656 6210208 9315312 12420416 18630624 24840832 37261248 74522496 236181973 472363946 708545919 944727892 1417091838 1889455784 2834183676 3778911568 5668367352 7557823136 11336734704 15115646272 22673469408 30231292544 45346938816 90693877632