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35499399968 = 2519217532
BaseRepresentation
bin100001000011111011…
…011101101100100000
310101122000101100220102
4201003323131230200
51040200321244333
624150323201532
72364464630624
oct410373355440
9111560340812
1035499399968
111406753868a
126a688162a8
133469828916
141a0a987184
15dcb82aae8
hex843eddb20

35499399968 has 54 divisors (see below), whose sum is σ = 73803536289. Its totient is φ = 16805912832.

The previous prime is 35499399967. The next prime is 35499399973. The reversal of 35499399968 is 86999399453.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23638447504 + 11860952464 = 153748^2 + 108908^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=133228.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35499399895 and 35499399904.

It is not an unprimeable number, because it can be changed into a prime (35499399967) 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 8 ways as a sum of consecutive naturals, for example, 20249780 + ... + 20251532.

Almost surely, 235499399968 is an apocalyptic number.

35499399968 is a gapful number since it is divisible by the number (38) 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 35499399968

35499399968 is an abundant number, since it is smaller than the sum of its proper divisors (38304136321).

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

35499399968 is an frugal number, since it uses more digits than its factorization.

35499399968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 1774 counting only the distinct ones).

The product of its digits is 510183360, while the sum is 74.

The spelling of 35499399968 in words is "thirty-five billion, four hundred ninety-nine million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 1753 2888 3506 5776 7012 11552 14024 28048 33307 56096 66614 133228 266456 532912 632833 1065824 1265666 2531332 3073009 5062664 6146018 10125328 12292036 20250656 24584072 49168144 58387171 98336288 116774342 233548684 467097368 934194736 1109356249 1868389472 2218712498 4437424996 8874849992 17749699984 35499399968