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116205616432 = 24173137372473
BaseRepresentation
bin110110000111001100…
…1001111110100110000
3102002221120100221202201
41230032121033310300
53400442114211212
6125214545352544
711252453304433
oct1541631176460
9362846327681
10116205616432
114531204a634
121a631038754
13ac5c0684a9
1458a543781a
153051ce8b57
hex1b0e64fd30

116205616432 has 80 divisors (see below), whose sum is σ = 252734038272. Its totient is φ = 51490529280.

The previous prime is 116205616427. The next prime is 116205616451. The reversal of 116205616432 is 234616502611.

It is a super-2 number, since 2×1162056164322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 116205616391 and 116205616400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125748 + ... + 498220.

Almost surely, 2116205616432 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 116205616432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126367019136).

116205616432 is an abundant number, since it is smaller than the sum of its proper divisors (136528421840).

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

116205616432 is a wasteful number, since it uses less digits than its factorization.

116205616432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372566 (or 372560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 116205616432 in words is "one hundred sixteen billion, two hundred five million, six hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 34 37 62 68 74 124 136 148 248 272 296 496 527 592 629 1054 1147 1258 2108 2294 2516 4216 4588 5032 8432 9176 10064 18352 19499 38998 77996 155992 311984 372473 744946 1489892 2979784 5959568 6332041 11546663 12664082 13781501 23093326 25328164 27563002 46186652 50656328 55126004 92373304 101312656 110252008 184746608 196293271 220504016 234285517 392586542 427226531 468571034 785173084 854453062 937142068 1570346168 1708906124 1874284136 3140692336 3417812248 3748568272 6835624496 7262851027 14525702054 29051404108 58102808216 116205616432