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72102772144 = 2413443782501
BaseRepresentation
bin100001100100110101…
…0001111110110110000
320220002222002022222101
41003021222033312300
52140131302202034
653042404350144
75131526310454
oct1031152176660
9226088068871
1072102772144
1128640153997
1211b830a5354
136a50c96220
1436bddc4664
151d20024514
hex10c9a8fdb0

72102772144 has 40 divisors (see below), whose sum is σ = 150785005392. Its totient is φ = 33203040000.

The previous prime is 72102772103. The next prime is 72102772219. The reversal of 72102772144 is 44127720127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299107 + ... + 483394.

Almost surely, 272102772144 is an apocalyptic number.

It is an amenable number.

72102772144 is an abundant number, since it is smaller than the sum of its proper divisors (78682233248).

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

72102772144 is a wasteful number, since it uses less digits than its factorization.

72102772144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782965 (or 782959 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The spelling of 72102772144 in words is "seventy-two billion, one hundred two million, seven hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 443 886 1772 3544 5759 7088 11518 23036 46072 92144 782501 1565002 3130004 6260008 10172513 12520016 20345026 40690052 81380104 162760208 346647943 693295886 1386591772 2773183544 4506423259 5546367088 9012846518 18025693036 36051386072 72102772144