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535689472968 = 23321329371015281
BaseRepresentation
bin1111100101110011001…
…01001010101111001000
31220012201010020210021200
413302321211022233020
532234043001113333
61050031540304200
753462612251056
oct7627145125710
91805633223250
10535689472968
11197203818801
12879a13a2060
133b691166410
141bcdb1271d6
15de03ea6c13
hex7cb994abc8

535689472968 has 384 divisors, whose sum is σ = 1676741320800. Its totient is φ = 153280512000.

The previous prime is 535689472963. The next prime is 535689473009. The reversal of 535689472968 is 869274986535.

It is a happy number.

535689472968 is a `hidden beast` number, since 5 + 3 + 5 + 68 + 9 + 472 + 96 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 133837442244 + 401852030724 = 365838^2 + 633918^2 .

It is a super-2 number, since 2×5356894729682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 535689472896 and 535689472905.

It is not an unprimeable number, because it can be changed into a prime (535689472961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101434488 + ... + 101439768.

Almost surely, 2535689472968 is an apocalyptic number.

535689472968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535689472968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838370660400).

535689472968 is an abundant number, since it is smaller than the sum of its proper divisors (1141051847832).

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

535689472968 is a wasteful number, since it uses less digits than its factorization.

535689472968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5466 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 535689472968 in words is "five hundred thirty-five billion, six hundred eighty-nine million, four hundred seventy-two thousand, nine hundred sixty-eight".