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22540125147768 = 2332570895483671
BaseRepresentation
bin1010010000000000010000…
…01001110001001001111000
32221210211000002001202211100
411020000020021301021320
510423244134014212033
6115534442431331400
74514320212361404
oct510001011611170
987724002052740
1022540125147768
117200239031768
122640516380b60
13c766a8955457
1457cd3ad98104
152914c144e513
hex148008271278

22540125147768 has 48 divisors (see below), whose sum is σ = 61047252723600. Its totient is φ = 7513242071040.

The previous prime is 22540125147719. The next prime is 22540125147773. The reversal of 22540125147768 is 86774152104522.

22540125147768 is a `hidden beast` number, since 2 + 2 + 5 + 40 + 12 + 514 + 7 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368573 + ... + 6852243.

It is an arithmetic number, because the mean of its divisors is an integer number (1271817765075).

Almost surely, 222540125147768 is an apocalyptic number.

It is an amenable number.

22540125147768 is an abundant number, since it is smaller than the sum of its proper divisors (38507127575832).

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

22540125147768 is a wasteful number, since it uses less digits than its factorization.

22540125147768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540772 (or 5540765 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 22540125147768 in words is "twenty-two trillion, five hundred forty billion, one hundred twenty-five million, one hundred forty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57089 114178 171267 228356 342534 456712 513801 685068 1027602 1370136 2055204 4110408 5483671 10967342 16451013 21934684 32902026 43869368 49353039 65804052 98706078 131608104 197412156 394824312 313057293719 626114587438 939171881157 1252229174876 1878343762314 2504458349752 2817515643471 3756687524628 5635031286942 7513375049256 11270062573884 22540125147768