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61342113900 = 223521911070543
BaseRepresentation
bin111001001000010001…
…100110000001101100
312212100001000020220110
4321020101212001230
52001112040121100
644102530220020
74301054236134
oct711021460154
9185301006813
1061342113900
112401902a101
12ba7b424610
135a2781bc22
142d7cc17ac4
1518e04b1250
hexe4846606c

61342113900 has 72 divisors (see below), whose sum is σ = 178412580864. Its totient is φ = 16272238400.

The previous prime is 61342113799. The next prime is 61342113901. The reversal of 61342113900 is 931124316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61342113901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477972 + ... + 592571.

It is an arithmetic number, because the mean of its divisors is an integer number (2477952512).

Almost surely, 261342113900 is an apocalyptic number.

61342113900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61342113900 is an abundant number, since it is smaller than the sum of its proper divisors (117070466964).

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

61342113900 is a wasteful number, since it uses less digits than its factorization.

61342113900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070751 (or 1070744 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 61342113900 in words is "sixty-one billion, three hundred forty-two million, one hundred thirteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 19100 28650 57300 1070543 2141086 3211629 4282172 5352715 6423258 10705430 12846516 16058145 21410860 26763575 32116290 53527150 64232580 80290725 107054300 160581450 204473713 321162900 408947426 613421139 817894852 1022368565 1226842278 2044737130 2453684556 3067105695 4089474260 5111842825 6134211390 10223685650 12268422780 15335528475 20447371300 30671056950 61342113900