Search a number
-
+
72488033088 = 2633139730677
BaseRepresentation
bin100001110000010011…
…1111001101101000000
320221002211000121122020
41003200213321231000
52141423414024323
653144530041440
75144215054302
oct1034047715500
9227084017566
1072488033088
1128818672169
1212070119280
136ab2a46b93
14371922d972
151d43c75ae3
hex10e09f9b40

72488033088 has 112 divisors (see below), whose sum is σ = 198483224064. Its totient is φ = 23323576320.

The previous prime is 72488033039. The next prime is 72488033131. The reversal of 72488033088 is 88033088427.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72488033088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347606 + ... + 2378282.

Almost surely, 272488033088 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 72488033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99241612032).

72488033088 is an abundant number, since it is smaller than the sum of its proper divisors (125995190976).

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

72488033088 is a wasteful number, since it uses less digits than its factorization.

72488033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31120 (or 31110 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 72488033088 in words is "seventy-two billion, four hundred eighty-eight million, thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 397 496 744 794 992 1191 1488 1588 1984 2382 2976 3176 4764 5952 6352 9528 12307 12704 19056 24614 25408 30677 36921 38112 49228 61354 73842 76224 92031 98456 122708 147684 184062 196912 245416 295368 368124 393824 490832 590736 736248 787648 950987 981664 1181472 1472496 1901974 1963328 2362944 2852961 2944992 3803948 5705922 5889984 7607896 11411844 12178769 15215792 22823688 24357538 30431584 36536307 45647376 48715076 60863168 73072614 91294752 97430152 146145228 182589504 194860304 292290456 377541839 389720608 584580912 755083678 779441216 1132625517 1169161824 1510167356 2265251034 2338323648 3020334712 4530502068 6040669424 9061004136 12081338848 18122008272 24162677696 36244016544 72488033088