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134437461864 = 233171382923827
BaseRepresentation
bin111110100110100011…
…0001101111101101000
3110212000011210122221020
41331031012031331220
54200311442234424
6141432033212440
712466325366646
oct1751506157550
9425004718836
10134437461864
1152018495992
122207aa01120
13c8a6323004
146714976196
15376c6ec079
hex1f4d18df68

134437461864 has 64 divisors (see below), whose sum is σ = 355904539200. Its totient is φ = 42171638784.

The previous prime is 134437461857. The next prime is 134437461869. The reversal of 134437461864 is 468164734431.

134437461864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (134437461869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5630319 + ... + 5654145.

It is an arithmetic number, because the mean of its divisors is an integer number (5561008425).

Almost surely, 2134437461864 is an apocalyptic number.

It is an amenable number.

134437461864 is an abundant number, since it is smaller than the sum of its proper divisors (221467077336).

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

134437461864 is a wasteful number, since it uses less digits than its factorization.

134437461864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37682 (or 37678 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 134437461864 in words is "one hundred thirty-four billion, four hundred thirty-seven million, four hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 13829 23827 27658 41487 47654 55316 71481 82974 95308 110632 142962 165948 190616 235093 285924 331896 405059 470186 571848 705279 810118 940372 1215177 1410558 1620236 1880744 2430354 2821116 3240472 4860708 5642232 9721416 329503583 659007166 988510749 1318014332 1977021498 2636028664 3954042996 5601560911 7908085992 11203121822 16804682733 22406243644 33609365466 44812487288 67218730932 134437461864