Search a number
-
+
83272246991844 = 2231916717483125093
BaseRepresentation
bin10010111011110001010100…
…101100111001101111100100
3101220211202020001212102210020
4102323301110230321233210
541403313030212214334
6453034424145555140
723353135623455631
oct2273612454715744
9356752201772706
1083272246991844
112459561a584339
12940a877045ab0
1337607018013b1
14167c580b75188
15996180112e49
hex4bbc54b39be4

83272246991844 has 96 divisors (see below), whose sum is σ = 205766460103680. Its totient is φ = 26137330927488.

The previous prime is 83272246991831. The next prime is 83272246991893. The reversal of 83272246991844 is 44819964227238.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665620162 + ... + 665745254.

It is an arithmetic number, because the mean of its divisors is an integer number (2143400626080).

Almost surely, 283272246991844 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 83272246991844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102883230051840).

83272246991844 is an abundant number, since it is smaller than the sum of its proper divisors (122494213111836).

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

83272246991844 is a wasteful number, since it uses less digits than its factorization.

83272246991844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142769 (or 142767 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 69.

The spelling of 83272246991844 in words is "eighty-three trillion, two hundred seventy-two billion, two hundred forty-six million, nine hundred ninety-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 167 228 334 501 668 1002 2004 3173 6346 9519 12692 17483 19038 34966 38076 52449 69932 104898 125093 209796 250186 332177 375279 500372 664354 750558 996531 1328708 1501116 1993062 2376767 2919661 3986124 4753534 5839322 7130301 8758983 9507068 11678644 14260602 17517966 20890531 28521204 35035932 41781062 55473559 62671593 83562124 110947118 125343186 166420677 221894236 250686372 332841354 396920089 665682708 793840178 1190760267 1587680356 2187000919 2381520534 4374001838 4763041068 6561002757 8748003676 13122005514 26244011028 41553017461 83106034922 124659052383 166212069844 249318104766 365229153473 498636209532 730458306946 1095687460419 1460916613892 2191374920838 4382749841676 6939353915987 13878707831974 20818061747961 27757415663948 41636123495922 83272246991844