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10144838860 = 22513331117881
BaseRepresentation
bin10010111001010110…
…11111010011001100
3222012000022012200121
421130223133103030
5131234034320420
64354355034324
7506253464452
oct113453372314
928160265617
1010144838860
114336551652
121b7159b9a4
13c58a00140
146c34a69d2
153e596d2aa
hex25cadf4cc

10144838860 has 48 divisors (see below), whose sum is σ = 23012452512. Its totient is φ = 3734438400.

The previous prime is 10144838857. The next prime is 10144838887. The reversal of 10144838860 is 6883844101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27120 + ... + 145000.

It is an arithmetic number, because the mean of its divisors is an integer number (479426094).

Almost surely, 210144838860 is an apocalyptic number.

10144838860 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 10144838860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506226256).

10144838860 is an abundant number, since it is smaller than the sum of its proper divisors (12867613652).

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

10144838860 is a wasteful number, since it uses less digits than its factorization.

10144838860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118234 (or 118232 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 10144838860 in words is "ten billion, one hundred forty-four million, eight hundred thirty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 662 1324 1655 3310 4303 6620 8606 17212 21515 43030 86060 117881 235762 471524 589405 1178810 1532453 2357620 3064906 6129812 7662265 15324530 30649060 39018611 78037222 156074444 195093055 390186110 507241943 780372220 1014483886 2028967772 2536209715 5072419430 10144838860