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33973125140 = 22576112971721
BaseRepresentation
bin11111101000111101…
…001100000000010100
310020200122102120110002
4133220331030000110
51024034110001030
623335041550432
72311612541033
oct375075140024
9106618376402
1033973125140
1113453a41829
126701645418
133285567116
141903da471a
15d3c841245
hex7e8f4c014

33973125140 has 48 divisors (see below), whose sum is σ = 71533932624. Its totient is φ = 13553049600.

The previous prime is 33973125139. The next prime is 33973125143. The reversal of 33973125140 is 4152137933.

It can be written as a sum of positive squares in 8 ways, for example, as 89151364 + 33883973776 = 9442^2 + 184076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33973125094 and 33973125103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33973125143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19739480 + ... + 19741200.

It is an arithmetic number, because the mean of its divisors is an integer number (1490290263).

Almost surely, 233973125140 is an apocalyptic number.

It is an amenable number.

33973125140 is an abundant number, since it is smaller than the sum of its proper divisors (37560807484).

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

33973125140 is a wasteful number, since it uses less digits than its factorization.

33973125140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 33973125140 in words is "thirty-three billion, nine hundred seventy-three million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 761 1297 1522 1721 2594 3044 3442 3805 5188 6485 6884 7610 8605 12970 15220 17210 25940 34420 987017 1309681 1974034 2232137 2619362 3948068 4464274 4935085 5238724 6548405 8928548 9870170 11160685 13096810 19740340 22321370 26193620 44642740 1698656257 3397312514 6794625028 8493281285 16986562570 33973125140