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86206100148 = 22337114029233
BaseRepresentation
bin101000001001001001…
…0001011001010110100
322020111211222121221000
41100102102023022310
52403022230201043
6103334051523300
76141160522020
oct1202222131264
9266454877830
1086206100148
1133618106a73
121485a2b9530
13818ab1261c
14425b0b7380
1523982682d3
hex141248b2b4

86206100148 has 48 divisors (see below), whose sum is σ = 255425484160. Its totient is φ = 24630314112.

The previous prime is 86206100143. The next prime is 86206100203. The reversal of 86206100148 is 84100160268.

86206100148 is a `hidden beast` number, since 8 + 6 + 20 + 610 + 0 + 14 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86206100143) 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, 57013861 + ... + 57015372.

Almost surely, 286206100148 is an apocalyptic number.

It is an amenable number.

86206100148 is an abundant number, since it is smaller than the sum of its proper divisors (169219384012).

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

86206100148 is a wasteful number, since it uses less digits than its factorization.

86206100148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114029253 (or 114029245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 86206100148 in words is "eighty-six billion, two hundred six million, one hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 114029233 228058466 342087699 456116932 684175398 798204631 1026263097 1368350796 1596409262 2052526194 2394613893 3078789291 3192818524 4105052388 4789227786 6157578582 7183841679 9578455572 12315157164 14367683358 21551525037 28735366716 43103050074 86206100148