Search a number
-
+
116532051516 = 22332923141387
BaseRepresentation
bin110110010000111011…
…0011111111000111100
3102010210022121120112000
41230201312133320330
53402124201122031
6125311210142300
711263526044266
oct1544166377074
9363708546460
10116532051516
114546a33a0a1
121a702421990
13acb189074a
1458d692cb36
1530707ca3e6
hex1b21d9fe3c

116532051516 has 144 divisors (see below), whose sum is σ = 322998574080. Its totient is φ = 36293866560.

The previous prime is 116532051491. The next prime is 116532051533. The reversal of 116532051516 is 615150235611.

116532051516 is a `hidden beast` number, since 1 + 1 + 65 + 32 + 0 + 51 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794975 + ... + 2836361.

Almost surely, 2116532051516 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 116532051516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161499287040).

116532051516 is an abundant number, since it is smaller than the sum of its proper divisors (206466522564).

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

116532051516 is a wasteful number, since it uses less digits than its factorization.

116532051516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41489 (or 41452 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 116532051516 in words is "one hundred sixteen billion, five hundred thirty-two million, fifty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 841 899 1044 1116 1566 1674 1682 1798 2523 2697 3132 3348 3364 3596 5046 5394 7569 8091 10092 10788 15138 16182 22707 24273 26071 30276 32364 41387 45414 48546 52142 78213 82774 90828 97092 104284 124161 156426 165548 234639 248322 312852 372483 469278 496644 703917 744966 938556 1117449 1200223 1282997 1407834 1489932 2234898 2400446 2565994 2815668 3600669 3848991 4469796 4800892 5131988 7201338 7697982 10802007 11546973 14402676 15395964 21604014 23093946 32406021 34640919 34806467 37206913 43208028 46187892 64812042 69281838 69612934 74413826 104419401 111620739 129624084 138563676 139225868 148827652 208838802 223241478 313258203 334862217 417677604 446482956 626516406 669724434 939774609 1004586651 1079000477 1253032812 1339448868 1879549218 2009173302 2158000954 3237001431 3759098436 4018346604 4316001908 6474002862 9711004293 12948005724 19422008586 29133012879 38844017172 58266025758 116532051516