Search a number
-
+
10457077124280 = 2335659511321319
BaseRepresentation
bin1001100000101011101001…
…0111100000110010111000
31101000200112200110221212010
42120022322113200302320
52332312043220434110
634123525342045520
72126333055655413
oct230127227406270
941020480427763
1010457077124280
11337190446a706
12120a799b798a0
135ab137803987
142821a78d6b7a
1513202c682020
hex982ba5e0cb8

10457077124280 has 64 divisors (see below), whose sum is σ = 31371730790400. Its totient is φ = 2788509507200.

The previous prime is 10457077124267. The next prime is 10457077124317. The reversal of 10457077124280 is 8242177075401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7253461 + ... + 8574779.

It is an arithmetic number, because the mean of its divisors is an integer number (490183293600).

Almost surely, 210457077124280 is an apocalyptic number.

10457077124280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457077124280 is an abundant number, since it is smaller than the sum of its proper divisors (20914653666120).

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

10457077124280 is a wasteful number, since it uses less digits than its factorization.

10457077124280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387284 (or 1387280 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 10457077124280 in words is "ten trillion, four hundred fifty-seven billion, seventy-seven million, one hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 65951 131902 197853 263804 329755 395706 527608 659510 791412 989265 1319020 1321319 1582824 1978530 2638040 2642638 3957060 3963957 5285276 6606595 7914120 7927914 10570552 13213190 15855828 19819785 26426380 31711656 39639570 52852760 79279140 158558280 87142309369 174284618738 261426928107 348569237476 435711546845 522853856214 697138474952 871423093690 1045707712428 1307134640535 1742846187380 2091415424856 2614269281070 3485692374760 5228538562140 10457077124280