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72211609808 = 24132313792273
BaseRepresentation
bin100001101000000100…
…1011011100011010000
320220101112212212011222
41003100021123203100
52140342133003213
653101253224212
75134320361442
oct1032011334320
9226345785158
1072211609808
1128696631278
1211bb3632068
136a6a6b2500
1436d0636492
151d29872808
hex10d025b8d0

72211609808 has 120 divisors (see below), whose sum is σ = 156868888320. Its totient is φ = 32154071040.

The previous prime is 72211609787. The next prime is 72211609871. The reversal of 72211609808 is 80890611227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31768160 + ... + 31770432.

It is an arithmetic number, because the mean of its divisors is an integer number (1307240736).

Almost surely, 272211609808 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 72211609808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78434444160).

72211609808 is an abundant number, since it is smaller than the sum of its proper divisors (84657278512).

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

72211609808 is a wasteful number, since it uses less digits than its factorization.

72211609808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 72211609808 in words is "seventy-two billion, two hundred eleven million, six hundred nine thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 338 379 403 496 676 758 806 1352 1516 1612 2273 2704 3032 3224 4546 4927 5239 6064 6448 9092 9854 10478 11749 18184 19708 20956 23498 29549 36368 39416 41912 46996 59098 64051 70463 78832 83824 93992 118196 128102 140926 152737 187984 236392 256204 281852 305474 384137 472784 512408 563704 610948 768274 861467 916019 1024816 1127408 1221896 1536548 1722934 1832038 1985581 2443792 3073096 3445868 3664076 3971162 6146192 6891736 7328152 7942324 11199071 11908247 13783472 14656304 15884648 22398142 23816494 26705477 31769296 44796284 47632988 53410954 89592568 95265976 106821908 145587923 179185136 190531952 213643816 291175846 347171201 427287632 582351692 694342402 1164703384 1388684804 2329406768 2777369608 4513225613 5554739216 9026451226 18052902452 36105804904 72211609808