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33997097360 = 24531127107941
BaseRepresentation
bin11111101010011000…
…101000100110010000
310020202022112111011002
4133222120220212100
51024111224103420
623341255441132
72312323362632
oct375230504620
9106668474132
1033997097360
1113466525486
1267096861a8
13328a50b575
141907244a52
15d3e9c9075
hex7ea628990

33997097360 has 80 divisors (see below), whose sum is σ = 82236260352. Its totient is φ = 13056422400.

The previous prime is 33997097339. The next prime is 33997097363. The reversal of 33997097360 is 6379079933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 33997097296 and 33997097305.

It is not an unprimeable number, because it can be changed into a prime (33997097363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260990 + ... + 368930.

Almost surely, 233997097360 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 33997097360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41118130176).

33997097360 is an abundant number, since it is smaller than the sum of its proper divisors (48239162992).

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

33997097360 is a wasteful number, since it uses less digits than its factorization.

33997097360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108112 (or 108106 counting only the distinct ones).

The product of its (nonzero) digits is 5786802, while the sum is 56.

The spelling of 33997097360 in words is "thirty-three billion, nine hundred ninety-seven million, ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 127 155 248 254 310 496 508 620 635 1016 1240 1270 2032 2480 2540 3937 5080 7874 10160 15748 19685 31496 39370 62992 78740 107941 157480 215882 314960 431764 539705 863528 1079410 1727056 2158820 3346171 4317640 6692342 8635280 13384684 13708507 16730855 26769368 27417014 33461710 53538736 54834028 66923420 68542535 109668056 133846840 137085070 219336112 267693680 274170140 424963717 548340280 849927434 1096680560 1699854868 2124818585 3399709736 4249637170 6799419472 8499274340 16998548680 33997097360