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72599980194 = 232723153116363
BaseRepresentation
bin100001110011101001…
…0111100100010100010
320221101121200010012100
41003213102330202202
52142141043331234
653204005311230
75150044435560
oct1034722744242
9227347603170
1072599980194
1128875883735
12120a1705516
136acccb1581
14372a050a30
151d4d9da399
hex10e74bc8a2

72599980194 has 96 divisors (see below), whose sum is σ = 187721524224. Its totient is φ = 19826817120.

The previous prime is 72599980183. The next prime is 72599980223. The reversal of 72599980194 is 49108999527.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4428657 + ... + 4445019.

It is an arithmetic number, because the mean of its divisors is an integer number (1955432544).

Almost surely, 272599980194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72599980194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93860762112).

72599980194 is an abundant number, since it is smaller than the sum of its proper divisors (115121544030).

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

72599980194 is a wasteful number, since it uses less digits than its factorization.

72599980194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17932 (or 17929 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 72599980194 in words is "seventy-two billion, five hundred ninety-nine million, nine hundred eighty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 1531 2898 3062 4593 9186 10717 13779 16363 21434 27558 32151 32726 35213 49089 64302 70426 96453 98178 105639 114541 147267 192906 211278 229082 246491 294534 316917 343623 376349 492982 633834 687246 739473 752698 1030869 1129047 1478946 2061738 2218419 2258094 2634443 3387141 4436838 5268886 6774282 7903329 15806658 23709987 25051753 47419974 50103506 75155259 150310518 175362271 225465777 350724542 450931554 526086813 576190319 1052173626 1152380638 1578260439 1728570957 3156520878 3457141914 4033332233 5185712871 8066664466 10371425742 12099996699 24199993398 36299990097 72599980194