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53774364100 = 22525922514049
BaseRepresentation
bin110010000101001100…
…111010110111000100
312010210121221201210211
4302011030322313010
51340112214122400
640411551125204
73612402360502
oct620514726704
9163717851724
1053774364100
1120895254726
12a508b13804
1350bc9cc672
142861b0b672
1515eade9dba
hexc8533adc4

53774364100 has 72 divisors (see below), whose sum is σ = 118750212000. Its totient is φ = 21130560000.

The previous prime is 53774364089. The next prime is 53774364107. The reversal of 53774364100 is 146347735.

It is not an unprimeable number, because it can be changed into a prime (53774364107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13278876 + ... + 13282924.

It is an arithmetic number, because the mean of its divisors is an integer number (1649308500).

Almost surely, 253774364100 is an apocalyptic number.

53774364100 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 53774364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59375106000).

53774364100 is an abundant number, since it is smaller than the sum of its proper divisors (64975847900).

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

53774364100 is a wasteful number, since it uses less digits than its factorization.

53774364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 53774364100 in words is "fifty-three billion, seven hundred seventy-four million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2251 2950 4049 4502 5900 8098 9004 11255 16196 20245 22510 40490 45020 56275 80980 101225 112550 132809 202450 225100 238891 265618 404900 477782 531236 664045 955564 1194455 1328090 2388910 2656180 3320225 4777820 5972275 6640450 9114299 11944550 13280900 18228598 23889100 36457196 45571495 91142990 182285980 227857475 455714950 537743641 911429900 1075487282 2150974564 2688718205 5377436410 10754872820 13443591025 26887182050 53774364100