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116143608032984 = 237311092232752417
BaseRepresentation
bin11010011010000111001010…
…011111111110111011011000
3120020020012221201221021112202
4122122013022133332323120
5110210344102124023414
61051003345325225332
733315045610256660
oct3232071237767330
9506205851837482
10116143608032984
1134009255971324
12110394ab402248
134ca63ab8567ac
1420975485dd1a0
15d662660189de
hex69a1ca7feed8

116143608032984 has 128 divisors (see below), whose sum is σ = 260427185356800. Its totient is φ = 47514186731520.

The previous prime is 116143608032957. The next prime is 116143608033041. The reversal of 116143608032984 is 489230806341611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40820744 + ... + 43573160.

It is an arithmetic number, because the mean of its divisors is an integer number (2034587385600).

Almost surely, 2116143608032984 is an apocalyptic number.

116143608032984 is a gapful number since it is divisible by the number (14) 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 116143608032984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130213592678400).

116143608032984 is an abundant number, since it is smaller than the sum of its proper divisors (144283577323816).

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

116143608032984 is a wasteful number, since it uses less digits than its factorization.

116143608032984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752793 (or 2752789 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 116143608032984 in words is "one hundred sixteen trillion, one hundred forty-three billion, six hundred eight million, thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 109 124 217 218 223 248 434 436 446 763 868 872 892 1526 1561 1736 1784 3052 3122 3379 6104 6244 6758 6913 12488 13516 13826 23653 24307 27032 27652 47306 48391 48614 55304 94612 96782 97228 170149 189224 193564 194456 340298 387128 680596 753517 1361192 1507034 2752417 3014068 5274619 5504834 6028136 10549238 11009668 19266919 21098476 22019336 38533838 42196952 77067676 85324927 154135352 170649854 300013453 341299708 597274489 600026906 613788991 682599416 1194548978 1200053812 1227577982 2100094171 2389097956 2400107624 2455155964 4200188342 4296522937 4778195912 4910311928 8400376684 8593045874 9300417043 16800753368 17186091748 18600834086 19027458721 34372183496 37201668172 38054917442 65102919301 66903000019 74403336344 76109834884 130205838602 133192211047 133806000038 152219669768 260411677204 266384422094 267612000076 468321000133 520823354408 532768844188 535224000152 936642000266 1065537688376 1873284000532 2073993000589 3746568001064 4147986001178 8295972002356 14517951004123 16591944004712 29035902008246 58071804016492 116143608032984