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2053634616 = 23321110125673
BaseRepresentation
bin111101001100111…
…1111101000111000
312022010021110002100
41322121333220320
513201212301431
6535440303400
7101614414635
oct17231775070
95263243070
102053634616
119642500a0
12493911b60
13269605c17
14156a5b18c
15c04594e6
hex7a67fa38

2053634616 has 96 divisors (see below), whose sum is σ = 6127870320. Its totient is φ = 616128000.

The previous prime is 2053634593. The next prime is 2053634633. The reversal of 2053634616 is 6164363502.

2053634616 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 6 + 34 + 616 = 666.

It is a super-4 number, since 4×20536346164 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67156 + ... + 92828.

Almost surely, 22053634616 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 2053634616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063935160).

2053634616 is an abundant number, since it is smaller than the sum of its proper divisors (4074235704).

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

2053634616 is a wasteful number, since it uses less digits than its factorization.

2053634616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797 (or 25790 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2053634616 is about 45317.0455347654. The cubic root of 2053634616 is about 1271.0844099396.

The spelling of 2053634616 in words is "two billion, fifty-three million, six hundred thirty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 396 404 606 792 808 909 1111 1212 1818 2222 2424 3333 3636 4444 6666 7272 8888 9999 13332 19998 25673 26664 39996 51346 77019 79992 102692 154038 205384 231057 282403 308076 462114 564806 616152 847209 924228 1129612 1694418 1848456 2259224 2541627 2592973 3388836 5083254 5185946 6777672 7778919 10166508 10371892 15557838 20333016 20743784 23336757 28522703 31115676 46673514 57045406 62231352 85568109 93347028 114090812 171136218 186694056 228181624 256704327 342272436 513408654 684544872 1026817308 2053634616