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90710893312 = 281325935537
BaseRepresentation
bin101010001111011001…
…0100110001100000000
322200010210112211102021
41110132302212030000
52441233442041222
6105401053131224
76360620604544
oct1243662461400
9280123484367
1090710893312
1135519a30826
12156b6a89b14
1387281a6a00
1445674ada24
15255d9a1ac7
hex151eca6300

90710893312 has 108 divisors (see below), whose sum is σ = 199395899640. Its totient is φ = 41155805184.

The previous prime is 90710893289. The next prime is 90710893477. The reversal of 90710893312 is 21339801709.

It is a super-2 number, since 2×907108933122 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2534808 + ... + 2570344.

It is an arithmetic number, because the mean of its divisors is an integer number (1846258330).

Almost surely, 290710893312 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 90710893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99697949820).

90710893312 is an abundant number, since it is smaller than the sum of its proper divisors (108685006328).

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

90710893312 is a wasteful number, since it uses less digits than its factorization.

90710893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35638 (or 35611 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 90710893312 in words is "ninety billion, seven hundred ten million, eight hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 169 208 236 256 338 416 472 676 767 832 944 1352 1534 1664 1888 2704 3068 3328 3776 5408 6136 7552 9971 10816 12272 15104 19942 21632 24544 35537 39884 43264 49088 71074 79768 98176 142148 159536 196352 284296 319072 461981 568592 638144 923962 1137184 1276288 1847924 2096683 2274368 2552576 3695848 4193366 4548736 6005753 7391696 8386732 9097472 12011506 14783392 16773464 24023012 27256879 29566784 33546928 48046024 54513758 59133568 67093856 96092048 109027516 118267136 134187712 192184096 218055032 268375424 354339427 384368192 436110064 536750848 708678854 768736384 872220128 1417357708 1537472768 1744440256 2834715416 3488880512 5669430832 6977761024 11338861664 22677723328 45355446656 90710893312