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54156336640100 = 225213711233520051
BaseRepresentation
bin11000101000001010000010…
…01101010011000001100100
321002202021222012211011000122
430110011001031103001210
524044244134134440400
6311103024432101112
714256444336066002
oct1424050115230144
9232667865734018
1054156336640100
111628a6341a9352
1260a7a3b694798
13242abc7822b36
14d53275ad7a72
1563dae5b7c685
hex314141353064

54156336640100 has 72 divisors (see below), whose sum is σ = 118482500363808. Its totient is φ = 21485258784000.

The previous prime is 54156336640093. The next prime is 54156336640129. The reversal of 54156336640100 is 104663365145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13625075 + ... + 17145125.

Almost surely, 254156336640100 is an apocalyptic number.

54156336640100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54156336640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241250181904).

54156336640100 is an abundant number, since it is smaller than the sum of its proper divisors (64326163723708).

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

54156336640100 is a wasteful number, since it uses less digits than its factorization.

54156336640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521325 (or 3521318 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 54156336640100 in words is "fifty-four trillion, one hundred fifty-six billion, three hundred thirty-six million, six hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1123 1370 2246 2740 3425 4492 5615 6850 11230 13700 22460 28075 56150 112300 153851 307702 615404 769255 1538510 3077020 3520051 3846275 7040102 7692550 14080204 15385100 17600255 35200510 70401020 88001275 176002550 352005100 482246987 964493974 1928987948 2411234935 3953017273 4822469870 7906034546 9644939740 12056174675 15812069092 19765086365 24112349350 39530172730 48224698700 79060345460 98825431825 197650863650 395301727300 541563366401 1083126732802 2166253465604 2707816832005 5415633664010 10831267328020 13539084160025 27078168320050 54156336640100