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72377103665060 = 225171073643546109
BaseRepresentation
bin10000011101001110011011…
…100011011100011110100100
3100111021011221210112122220022
4100131032123203130132210
533441311302014240220
6413533325444454312
721150034046301035
oct2035163343343644
9314234853478808
1072377103665060
1121074a59173a47
12814b2016aa398
13315019314500c
1413c30db692a8c
15857a64237925
hex41d39b8dc7a4

72377103665060 has 96 divisors (see below), whose sum is σ = 162481548136320. Its totient is φ = 26985738958848.

The previous prime is 72377103665057. The next prime is 72377103665093. The reversal of 72377103665060 is 6056630177327.

72377103665060 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 72377103664993 and 72377103665011.

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, 132259286 + ... + 132805394.

It is an arithmetic number, because the mean of its divisors is an integer number (1692516126420).

Almost surely, 272377103665060 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 72377103665060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81240774068160).

72377103665060 is an abundant number, since it is smaller than the sum of its proper divisors (90104444471260).

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

72377103665060 is a wasteful number, since it uses less digits than its factorization.

72377103665060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549885 (or 549883 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 53.

The spelling of 72377103665060 in words is "seventy-two trillion, three hundred seventy-seven billion, one hundred three million, six hundred sixty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 428 535 1070 1819 2140 3638 3643 7276 7286 9095 14572 18190 18215 36380 36430 61931 72860 123862 247724 309655 389801 546109 619310 779602 1092218 1238620 1559204 1949005 2184436 2730545 3898010 5461090 6626617 7796020 9283853 10922180 13253234 18567706 26506468 33133085 37135412 46419265 58433663 66266170 92838530 116867326 132532340 185677060 233734652 292168315 584336630 993372271 1168673260 1986744542 1989475087 3973489084 3978950174 4966861355 7957900348 9933722710 9947375435 19867445420 19894750870 33821076479 39789501740 67642152958 135284305916 169105382395 212873834309 338210764790 425747668618 676421529580 851495337236 1064369171545 2128738343090 3618855183253 4257476686180 7237710366506 14475420733012 18094275916265 36188551832530 72377103665060