Search a number
-
+
124739087616 = 28341113233159
BaseRepresentation
bin111010000101100000…
…1110110110100000000
3102220222021121012120000
41310023001312310000
54020431201300431
6133145423320000
712004102515243
oct1641301666400
9386867535500
10124739087616
11489a0a65860
1220212a50000
13b9bbc82620
1460748cb25a
1533a106e9e6
hex1d0b076d00

124739087616 has 1440 divisors, whose sum is σ = 478660976640. Its totient is φ = 31750963200.

The previous prime is 124739087521. The next prime is 124739087633. The reversal of 124739087616 is 616780937421.

124739087616 is a `hidden beast` number, since 1 + 2 + 473 + 90 + 8 + 76 + 16 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2114221795 + ... + 2114221853.

It is an arithmetic number, because the mean of its divisors is an integer number (332403456).

Almost surely, 2124739087616 is an apocalyptic number.

124739087616 is a gapful number since it is divisible by the number (16) 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 124739087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239330488320).

124739087616 is an abundant number, since it is smaller than the sum of its proper divisors (353921889024).

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

124739087616 is a wasteful number, since it uses less digits than its factorization.

124739087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 124739087616 in words is "one hundred twenty-four billion, seven hundred thirty-nine million, eighty-seven thousand, six hundred sixteen".