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45964555100 = 2252716473881
BaseRepresentation
bin101010110011101100…
…110111001101011100
311101122100102022220122
4222303230313031130
51223113411230400
633041003534112
73215021162162
oct526354671534
9141570368818
1045964555100
111854787a622
128aa952a338
1344469babc9
1423207d1232
1512e046c685
hexab3b3735c

45964555100 has 36 divisors (see below), whose sum is σ = 101147932368. Its totient is φ = 18126864000.

The previous prime is 45964555057. The next prime is 45964555127. The reversal of 45964555100 is 155546954.

It is a super-3 number, since 3×459645551003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3229841 + ... + 3244040.

It is an arithmetic number, because the mean of its divisors is an integer number (2809664788).

Almost surely, 245964555100 is an apocalyptic number.

It is an amenable number.

45964555100 is an abundant number, since it is smaller than the sum of its proper divisors (55183377268).

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

45964555100 is a wasteful number, since it uses less digits than its factorization.

45964555100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473966 (or 6473959 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 45964555100 in words is "forty-five billion, nine hundred sixty-four million, five hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 6473881 12947762 25895524 32369405 64738810 129477620 161847025 323694050 459645551 647388100 919291102 1838582204 2298227755 4596455510 9192911020 11491138775 22982277550 45964555100