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116451751933440 = 29325711238633307
BaseRepresentation
bin11010011110100110001001…
…010011101011011000000000
3120021022200022211001022111200
4122132212021103223120000
5110230421141443332230
61051401110222341200
733346234654226340
oct3236461123533000
9507280284038450
10116451751933440
1134117a02091570
121108916812a800
134cc947896ccc1
1420a841b186d20
15d6e29d64a160
hex69e9894eb600

116451751933440 has 1920 divisors, whose sum is σ = 525450675290112. Its totient is φ = 23111878901760.

The previous prime is 116451751933369. The next prime is 116451751933441. The reversal of 116451751933440 is 44339157154611.

116451751933440 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 5 + 1 + 7 + 5 + 193 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1164517519334402 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116451751933441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35213712267 + ... + 35213715573.

Almost surely, 2116451751933440 is an apocalyptic number.

116451751933440 is a gapful number since it is divisible by the number (10) 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 116451751933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262725337645056).

116451751933440 is an abundant number, since it is smaller than the sum of its proper divisors (408998923356672).

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

116451751933440 is a wasteful number, since it uses less digits than its factorization.

116451751933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 116451751933440 in words is "one hundred sixteen trillion, four hundred fifty-one billion, seven hundred fifty-one million, nine hundred thirty-three thousand, four hundred forty".