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116714958948 = 223271514017649
BaseRepresentation
bin110110010110011000…
…0001111000001100100
3102011021001210020100100
41230230300033001210
53403013012141243
6125341302344100
711301206532150
oct1545460170144
9364231706310
10116714958948
1145553608165
121a75372b030
13b010741ab3
145912d42060
1530818aa0d3
hex1b2cc0f064

116714958948 has 144 divisors (see below), whose sum is σ = 340300396800. Its totient is φ = 33039360000.

The previous prime is 116714958883. The next prime is 116714958949. The reversal of 116714958948 is 849859417611.

116714958948 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 1 + 4 + 9 + 589 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116714958949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15255028 + ... + 15262676.

It is an arithmetic number, because the mean of its divisors is an integer number (2363197200).

Almost surely, 2116714958948 is an apocalyptic number.

116714958948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116714958948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170150198400).

116714958948 is an abundant number, since it is smaller than the sum of its proper divisors (223585437852).

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

116714958948 is a wasteful number, since it uses less digits than its factorization.

116714958948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8218 (or 8213 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 116714958948 in words is "one hundred sixteen billion, seven hundred fourteen million, nine hundred fifty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 401 453 604 802 906 1057 1203 1359 1604 1812 2114 2406 2718 2807 3171 3609 4228 4812 5436 5614 6342 7218 7649 8421 9513 11228 12684 14436 15298 16842 19026 22947 25263 30596 33684 38052 45894 50526 53543 60551 68841 91788 101052 107086 121102 137682 160629 181653 214172 242204 275364 321258 363306 423857 481887 544959 642516 726612 847714 963774 1089918 1154999 1271571 1695428 1927548 2179836 2309998 2543142 3067249 3464997 3814713 4619996 5086284 6134498 6929994 7629426 8084993 9201747 10394991 12268996 13859988 15258852 16169986 18403494 20789982 21470743 24254979 27605241 32339972 36806988 41579964 42941486 48509958 55210482 64412229 72764937 85882972 97019916 110420964 128824458 145529874 193236687 257648916 291059748 386473374 463154599 772946748 926309198 1389463797 1852618396 2778927594 3242082193 4168391391 5557855188 6484164386 8336782782 9726246579 12968328772 16673565564 19452493158 29178739737 38904986316 58357479474 116714958948