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33973545140 = 2255213260417
BaseRepresentation
bin11111101000111110…
…110010100010110100
310020200200012220120122
4133220332302202310
51024034211421030
623335054551112
72311616240363
oct375076624264
9106620186518
1033973545140
11134541a9337
126701808498
133285683342
1419040737da
15d3c8c58e5
hex7e8fb28b4

33973545140 has 24 divisors (see below), whose sum is σ = 71481404232. Its totient is φ = 13563330560.

The previous prime is 33973545103. The next prime is 33973545149. The reversal of 33973545140 is 4154537933.

It can be written as a sum of positive squares in 4 ways, for example, as 857552656 + 33115992484 = 29284^2 + 181978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33973545091 and 33973545100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33973545149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1619789 + ... + 1640628.

It is an arithmetic number, because the mean of its divisors is an integer number (2978391843).

Almost surely, 233973545140 is an apocalyptic number.

It is an amenable number.

33973545140 is an abundant number, since it is smaller than the sum of its proper divisors (37507859092).

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

33973545140 is a wasteful number, since it uses less digits than its factorization.

33973545140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260947 (or 3260945 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 33973545140 in words is "thirty-three billion, nine hundred seventy-three million, five hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 521 1042 2084 2605 5210 10420 3260417 6520834 13041668 16302085 32604170 65208340 1698677257 3397354514 6794709028 8493386285 16986772570 33973545140