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497165016736 = 25611371979437
BaseRepresentation
bin1110011110000010101…
…10000001111010100000
31202112021021200122022101
413033001112001322200
531121143221013421
61020221111420144
750630132626123
oct7170126017240
91675237618271
10497165016736
11181934766623
128042b684654
1337b619c259b
141a0c48d43ba
15cdebcd8191
hex73c1581ea0

497165016736 has 96 divisors (see below), whose sum is σ = 1007294560272. Its totient is φ = 241464975360.

The previous prime is 497165016707. The next prime is 497165016737. The reversal of 497165016736 is 637610561794.

It can be written as a sum of positive squares in 8 ways, for example, as 297195064336 + 199969952400 = 545156^2 + 447180^2 .

It is a super-2 number, since 2×4971650167362 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (497165016737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52677810 + ... + 52687246.

Almost surely, 2497165016736 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 497165016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503647280136).

497165016736 is an abundant number, since it is smaller than the sum of its proper divisors (510129543536).

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

497165016736 is a wasteful number, since it uses less digits than its factorization.

497165016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 497165016736 in words is "four hundred ninety-seven billion, one hundred sixty-five million, sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 122 137 197 244 274 394 488 548 788 976 1096 1576 1952 2192 3152 4384 6304 8357 9437 12017 16714 18874 24034 26989 33428 37748 48068 53978 66856 75496 96136 107956 133712 150992 192272 215912 267424 301984 384544 431824 575657 863648 1151314 1292869 1646329 1859089 2302628 2585738 3292658 3718178 4605256 5171476 6585316 7436356 9210512 10342952 13170632 14872712 18421024 20685904 26341264 29745424 41371808 52682528 59490848 78865009 113404429 157730018 226808858 254695193 315460036 453617716 509390386 630920072 907235432 1018780772 1261840144 1814470864 2037561544 2523680288 3628941728 4075123088 8150246176 15536406773 31072813546 62145627092 124291254184 248582508368 497165016736