Search a number
-
+
139670576640 = 2933571272273
BaseRepresentation
bin1000001000010100000…
…0111101111000000000
3111100111212211102212000
42002011000331320000
54242021131423030
6144055213104000
713043111212230
oct2020500757000
9440455742760
10139670576640
1154263443531
122309b488000
131022b56182a
146a8d999cc0
153976d4e860
hex208503de00

139670576640 has 640 divisors, whose sum is σ = 571711979520. Its totient is φ = 31659393024.

The previous prime is 139670576623. The next prime is 139670576651. The reversal of 139670576640 is 46675076931.

It is a happy number.

139670576640 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 7 + 0 + 576 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1396705766402 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 61446544 + ... + 61448816.

It is an arithmetic number, because the mean of its divisors is an integer number (893299968).

Almost surely, 2139670576640 is an apocalyptic number.

139670576640 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 139670576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285855989760).

139670576640 is an abundant number, since it is smaller than the sum of its proper divisors (432041402880).

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

139670576640 is a wasteful number, since it uses less digits than its factorization.

139670576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 139670576640 in words is "one hundred thirty-nine billion, six hundred seventy million, five hundred seventy-six thousand, six hundred forty".