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116405247504 = 243721331127967
BaseRepresentation
bin110110001101001001…
…0110001111000010000
3102010110111000021010010
41230122102301320100
53401344220410004
6125250440234520
711260426164300
oct1543222617020
9363414007103
10116405247504
1145404800397
121a687a6ba40
13ac915238a0
1458c3b61600
1530645cda89
hex1b1a4b1e10

116405247504 has 480 divisors, whose sum is σ = 392337555456. Its totient is φ = 29445534720.

The previous prime is 116405247467. The next prime is 116405247509. The reversal of 116405247504 is 405742504611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (116405247509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120377229 + ... + 120378195.

Almost surely, 2116405247504 is an apocalyptic number.

116405247504 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 116405247504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196168777728).

116405247504 is an abundant number, since it is smaller than the sum of its proper divisors (275932307952).

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

116405247504 is a wasteful number, since it uses less digits than its factorization.

116405247504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 116405247504 in words is "one hundred sixteen billion, four hundred five million, two hundred forty-seven thousand, five hundred four".