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33936770040 = 2335282806417
BaseRepresentation
bin11111100110110010…
…100000001111111000
310020121010000112121220
4133212302200033320
51024000303120130
623331302432040
72310661533345
oct374662401770
9106533015556
1033936770040
1113435470698
1266b1432620
13327ab78624
1418dd21d7cc
15d3955e410
hex7e6ca03f8

33936770040 has 32 divisors (see below), whose sum is σ = 101810310480. Its totient is φ = 9049805312.

The previous prime is 33936769973. The next prime is 33936770041. The reversal of 33936770040 is 4007763933.

It is a junction number, because it is equal to n+sod(n) for n = 33936769974 and 33936770001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33936770041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141403089 + ... + 141403328.

Almost surely, 233936770040 is an apocalyptic number.

33936770040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33936770040 is an abundant number, since it is smaller than the sum of its proper divisors (67873540440).

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

33936770040 is a wasteful number, since it uses less digits than its factorization.

33936770040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282806431 (or 282806427 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The spelling of 33936770040 in words is "thirty-three billion, nine hundred thirty-six million, seven hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 282806417 565612834 848419251 1131225668 1414032085 1696838502 2262451336 2828064170 3393677004 4242096255 5656128340 6787354008 8484192510 11312256680 16968385020 33936770040