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61204144134 = 237390732789
BaseRepresentation
bin111001000000000011…
…010010000000000110
312211222102101122222010
4321000003102000012
52000321230103014
644041121115050
74264460433000
oct710003220006
9184872348863
1061204144134
1123a58164401
12ba41188a86
135a05072a03
142d68781370
1518d330b359
hexe400d2006

61204144134 has 64 divisors (see below), whose sum is σ = 142911936000. Its totient is φ = 17467085664.

The previous prime is 61204144103. The next prime is 61204144139. The reversal of 61204144134 is 43144140216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61204144139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850212 + ... + 1883000.

It is an arithmetic number, because the mean of its divisors is an integer number (2232999000).

Almost surely, 261204144134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61204144134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71455968000).

61204144134 is an abundant number, since it is smaller than the sum of its proper divisors (81707791866).

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

61204144134 is a wasteful number, since it uses less digits than its factorization.

61204144134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33722 (or 33708 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 61204144134 in words is "sixty-one billion, two hundred four million, one hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 907 1029 1814 2058 2721 5442 6349 12698 19047 32789 38094 44443 65578 88886 98367 133329 196734 229523 266658 311101 459046 622202 688569 933303 1377138 1606661 1866606 3213322 4819983 9639966 11246627 22493254 29739623 33739881 59479246 67479762 89218869 178437738 208177361 416354722 624532083 1249064166 1457241527 2914483054 4371724581 8743449162 10200690689 20401381378 30602072067 61204144134