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540950049972 = 223331161574089
BaseRepresentation
bin1111101111100110010…
…00101011010010110100
31220201021201221210022000
413313303020223102310
532330331203044342
61052301540535300
754040150362213
oct7676310532264
91821251853260
10540950049972
11199463223102
1288a0b0b1530
133c01bc9ba87
141c279a5907a
15e110c3144c
hex7df322b4b4

540950049972 has 48 divisors (see below), whose sum is σ = 1447703846400. Its totient is φ = 174500015040.

The previous prime is 540950049949. The next prime is 540950049979. The reversal of 540950049972 is 279940059045.

540950049972 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 500 + 49 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540950049979) 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, 80783697 + ... + 80790392.

It is an arithmetic number, because the mean of its divisors is an integer number (30160496800).

Almost surely, 2540950049972 is an apocalyptic number.

It is an amenable number.

540950049972 is an abundant number, since it is smaller than the sum of its proper divisors (906753796428).

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

540950049972 is a wasteful number, since it uses less digits than its factorization.

540950049972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161574133 (or 161574125 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 540950049972 in words is "five hundred forty billion, nine hundred fifty million, forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 161574089 323148178 484722267 646296356 969444534 1454166801 1938889068 2908333602 4362500403 5008796759 5816667204 8725000806 10017593518 15026390277 17450001612 20035187036 30052780554 45079170831 60105561108 90158341662 135237512493 180316683324 270475024986 540950049972