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90075083139248 = 2423691967366313
BaseRepresentation
bin10100011110110000111101…
…010101010110100010110000
3102210221002112102020221111112
4110132300331111112202300
543301242232240423443
6515323531045532452
724654465346601354
oct2436607525264260
9383832472227445
1090075083139248
11267786a01a7a59
12a1291a3114128
133b35075582b8c
14183592b83d464
15a630d6367b18
hex51ec3d5568b0

90075083139248 has 80 divisors (see below), whose sum is σ = 182560957303296. Its totient is φ = 42972441684480.

The previous prime is 90075083139143. The next prime is 90075083139257. The reversal of 90075083139248 is 84293138057009.

It is a super-2 number, since 2×900750831392482 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245713340 + ... + 246079652.

Almost surely, 290075083139248 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 90075083139248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91280478651648).

90075083139248 is an abundant number, since it is smaller than the sum of its proper divisors (92485874164048).

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

90075083139248 is a wasteful number, since it uses less digits than its factorization.

90075083139248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368002 (or 367996 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 90075083139248 in words is "ninety trillion, seventy-five billion, eighty-three million, one hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 691 967 1382 1934 2764 3868 5528 7736 11056 15472 15893 22241 31786 44482 63572 88964 127144 177928 254288 355856 366313 668197 732626 1336394 1465252 2672788 2930504 5345576 5861008 8425199 10691152 15368531 16850398 30737062 33700796 61474124 67401592 122948248 134803184 245896496 253122283 354224671 506244566 708449342 1012489132 1416898684 2024978264 2833797368 4049956528 5667594736 5821812509 8147167433 11643625018 16294334866 23287250036 32588669732 46574500072 65177339464 93149000144 130354678928 244769247661 489538495322 979076990644 1958153981288 3916307962576 5629692696203 11259385392406 22518770784812 45037541569624 90075083139248