Search a number
-
+
172033884036 = 2232713146711159
BaseRepresentation
bin1010000000111000000…
…1001011111110000100
3121110001100002210111200
42200032001023332010
510304311133242121
6211010431102500
715300105613140
oct2401601137604
9543040083450
10172033884036
1166a60708373
1229411971a30
13132b8436271
14847dc32220
15471d1a2a26
hex280e04bf84

172033884036 has 144 divisors (see below), whose sum is σ = 501897876480. Its totient is φ = 48668518080.

The previous prime is 172033884023. The next prime is 172033884067. The reversal of 172033884036 is 630488330271.

172033884036 is a `hidden beast` number, since 1 + 7 + 203 + 38 + 8 + 403 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 172033883982 and 172033884000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15411025 + ... + 15422183.

It is an arithmetic number, because the mean of its divisors is an integer number (3485401920).

Almost surely, 2172033884036 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 172033884036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250948938240).

172033884036 is an abundant number, since it is smaller than the sum of its proper divisors (329863992444).

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

172033884036 is a wasteful number, since it uses less digits than its factorization.

172033884036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 172033884036 in words is "one hundred seventy-two billion, thirty-three million, eight hundred eighty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 467 524 786 917 934 1179 1401 1572 1834 1868 2358 2751 2802 3269 3668 4203 4716 5502 5604 6538 8253 8406 9807 11004 11159 13076 16506 16812 19614 22318 29421 33012 33477 39228 44636 58842 61177 66954 78113 100431 117684 122354 133908 156226 183531 200862 234339 244708 312452 367062 401724 428239 468678 550593 703017 734124 856478 937356 1101186 1284717 1406034 1461829 1712956 2202372 2569434 2812068 2923658 3854151 4385487 5138868 5211253 5847316 7708302 8770974 10232803 10422506 13156461 15416604 15633759 17541948 20465606 20845012 26312922 30698409 31267518 36478771 40931212 46901277 52625844 61396818 62535036 72957542 92095227 93802554 109436313 122793636 145915084 184190454 187605108 218872626 328308939 368380908 437745252 656617878 682674143 1313235756 1365348286 2048022429 2730696572 4096044858 4778719001 6144067287 8192089716 9557438002 12288134574 14336157003 19114876004 24576269148 28672314006 43008471009 57344628012 86016942018 172033884036