Search a number
-
+
101464062383360 = 285298839073413
BaseRepresentation
bin10111000100011111110001…
…011001010101010100000000
3111022020212110221222120211202
4113010133301121111110000
5101244341344432231420
6555443540300400332
730241352024105255
oct2704376131252400
9438225427876752
10101464062383360
112a369738064246
12b4684b92460a8
134480035001421
141b0ac5b62342c
15bae4a6b2b575
hex5c47f1655500

101464062383360 has 288 divisors, whose sum is σ = 252054836691840. Its totient is φ = 39087131295744.

The previous prime is 101464062383357. The next prime is 101464062383419. The reversal of 101464062383360 is 63383260464101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29728701014 + ... + 29728704426.

It is an arithmetic number, because the mean of its divisors is an integer number (875190405180).

Almost surely, 2101464062383360 is an apocalyptic number.

101464062383360 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 101464062383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126027418345920).

101464062383360 is an abundant number, since it is smaller than the sum of its proper divisors (150590774308480).

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

101464062383360 is an equidigital number, since it uses as much as digits as its factorization.

101464062383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 101464062383360 in words is "one hundred one trillion, four hundred sixty-four billion, sixty-two million, three hundred eighty-three thousand, three hundred sixty".