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151066100556 = 223272208341113
BaseRepresentation
bin1000110010110000111…
…1011100001101001100
3112102221001112000220100
42030230033130031030
54433340410204211
6153222050451100
713625362445100
oct2145417341514
9472831460810
10151066100556
115908096a298
122533b893a90
13113263c12a7
1474511c7900
153de24bb156
hex232c3dc34c

151066100556 has 108 divisors (see below), whose sum is σ = 444430334712. Its totient is φ = 43139972736.

The previous prime is 151066100551. The next prime is 151066100561. The reversal of 151066100556 is 655001660151.

151066100556 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151066100551) and next prime (151066100561).

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

It is a self number, because there is not a number n which added to its sum of digits gives 151066100556.

It is not an unprimeable number, because it can be changed into a prime (151066100551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3653856 + ... + 3694968.

Almost surely, 2151066100556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151066100556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222215167356).

151066100556 is an abundant number, since it is smaller than the sum of its proper divisors (293364234156).

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

151066100556 is a wasteful number, since it uses less digits than its factorization.

151066100556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43220 (or 43208 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 151066100556 in words is "one hundred fifty-one billion, sixty-six million, one hundred thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2083 4166 6249 8332 12498 14581 18747 24996 29162 37494 41113 43743 58324 74988 82226 87486 102067 123339 131229 164452 174972 204134 246678 262458 287791 306201 370017 408268 493356 524916 575582 612402 740034 863373 918603 1151164 1224804 1480068 1726746 1837206 2014537 2590119 3453492 3674412 4029074 5180238 6043611 8058148 10360476 12087222 18130833 24174444 36261666 72523332 85638379 171276758 256915137 342553516 513830274 599468653 770745411 1027660548 1198937306 1541490822 1798405959 2397874612 3082981644 3596811918 4196280571 5395217877 7193623836 8392561142 10790435754 12588841713 16785122284 21580871508 25177683426 37766525139 50355366852 75533050278 151066100556