Search a number
-
+
33808813272 = 233213174120747
BaseRepresentation
bin11111011111001010…
…011000110011011000
310020021012020122221100
4133133022120303120
51023220024011042
623310452111400
72304546112503
oct373712306330
9106235218840
1033808813272
111337a2148a3
126676605560
13325a4c6b70
1418ca23213a
15d2d1d624c
hex7df298cd8

33808813272 has 96 divisors (see below), whose sum is σ = 98670433680. Its totient is φ = 10396235520.

The previous prime is 33808813271. The next prime is 33808813279. The reversal of 33808813272 is 27231880833.

It is a super-2 number, since 2×338088132722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33808813271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619203 + ... + 1639949.

Almost surely, 233808813272 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 33808813272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49335216840).

33808813272 is an abundant number, since it is smaller than the sum of its proper divisors (64861620408).

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

33808813272 is a wasteful number, since it uses less digits than its factorization.

33808813272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22513 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 33808813272 in words is "thirty-three billion, eight hundred eight million, eight hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1741 3482 5223 6964 10446 13928 15669 20747 20892 22633 31338 41494 41784 45266 62241 62676 67899 82988 90532 124482 125352 135798 165976 181064 186723 203697 248964 269711 271596 373446 407394 497928 539422 543192 746892 809133 814788 1078844 1493784 1618266 1629576 2157688 2427399 3236532 4854798 6473064 9709596 19419192 36120527 72241054 108361581 144482108 216723162 288964216 325084743 433446324 469566851 650169486 866892648 939133702 1300338972 1408700553 1878267404 2600677944 2817401106 3756534808 4226101659 5634802212 8452203318 11269604424 16904406636 33808813272