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292757138740 = 225111970037593
BaseRepresentation
bin1000100001010011010…
…11110110110100110100
31000222122202012112221101
410100221223312310310
514244031311414430
6342254001255444
730102536422633
oct4205153666464
91028582175841
10292757138740
11103180855450
12488a3934584
13217b74126a1
141025324751a
1579368c0dca
hex4429af6d34

292757138740 has 48 divisors (see below), whose sum is σ = 705978947520. Its totient is φ = 100854132480.

The previous prime is 292757138689. The next prime is 292757138761. The reversal of 292757138740 is 47831757292.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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, 35014617 + ... + 35022976.

It is an arithmetic number, because the mean of its divisors is an integer number (14707894740).

Almost surely, 2292757138740 is an apocalyptic number.

292757138740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

292757138740 is an abundant number, since it is smaller than the sum of its proper divisors (413221808780).

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

292757138740 is a wasteful number, since it uses less digits than its factorization.

292757138740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70037632 (or 70037630 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 292757138740 in words is "two hundred ninety-two billion, seven hundred fifty-seven million, one hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 70037593 140075186 280150372 350187965 700375930 770413523 1330714267 1400751860 1540827046 2661428534 3081654092 3852067615 5322857068 6653571335 7704135230 13307142670 14637856937 15408270460 26614285340 29275713874 58551427748 73189284685 146378569370 292757138740