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116387466624 = 27351113137191
BaseRepresentation
bin110110001100100111…
…0111100110110000000
3102010102020112220100000
41230121032330312000
53401330142412444
6125245003200000
711260122100062
oct1543116746600
9363366486300
10116387466624
11453a5766350
121a681b16000
13ac8a939560
1458c1653732
153062c6a469
hex1b193bcd80

116387466624 has 768 divisors, whose sum is σ = 413172264960. Its totient is φ = 32149094400.

The previous prime is 116387466599. The next prime is 116387466649. The reversal of 116387466624 is 426664783611.

It is an interprime number because it is at equal distance from previous prime (116387466599) and next prime (116387466649).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609358369 + ... + 609358559.

It is an arithmetic number, because the mean of its divisors is an integer number (537984720).

Almost surely, 2116387466624 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 116387466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206586132480).

116387466624 is an abundant number, since it is smaller than the sum of its proper divisors (296784798336).

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

116387466624 is a wasteful number, since it uses less digits than its factorization.

116387466624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 357 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 116387466624 in words is "one hundred sixteen billion, three hundred eighty-seven million, four hundred sixty-six thousand, six hundred twenty-four".