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148890653028 = 2232132639371291
BaseRepresentation
bin1000101010101010010…
…0110001000101100100
3112020022110000211220200
42022222210301011210
54414412001344103
6152222135230500
713520435445345
oct2125244610544
9466273024820
10148890653028
115816498a377
1224a33218430
131106a7a8230
1472c62dc0cc
153d164ee0a3
hex22aa931164

148890653028 has 144 divisors (see below), whose sum is σ = 407604253056. Its totient is φ = 45554296320.

The previous prime is 148890653027. The next prime is 148890653029. The reversal of 148890653028 is 820356098841.

148890653028 is a `hidden beast` number, since 1 + 4 + 8 + 89 + 0 + 6 + 530 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (148890653027) and next prime (148890653029).

It is not an unprimeable number, because it can be changed into a prime (148890653027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115329063 + ... + 115330353.

Almost surely, 2148890653028 is an apocalyptic number.

148890653028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148890653028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203802126528).

148890653028 is an abundant number, since it is smaller than the sum of its proper divisors (258713600028).

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

148890653028 is a wasteful number, since it uses less digits than its factorization.

148890653028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 148890653028 in words is "one hundred forty-eight billion, eight hundred ninety million, six hundred fifty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 263 468 526 789 937 1052 1291 1578 1874 2367 2582 2811 3156 3419 3748 3873 4734 5164 5622 6838 7746 8433 9468 10257 11244 11619 12181 13676 15492 16783 16866 20514 23238 24362 30771 33566 33732 36543 41028 46476 48724 50349 61542 67132 73086 100698 109629 123084 146172 151047 201396 219258 246431 302094 339533 438516 492862 604188 679066 739293 985724 1018599 1209667 1358132 1478586 2037198 2217879 2419334 2957172 3055797 3203603 3629001 4074396 4413929 4435758 4838668 6111594 6407206 7258002 8827858 8871516 9610809 10887003 12223188 12814412 13241787 14516004 15725671 17655716 19221618 21774006 26483574 28832427 31451342 38443236 39725361 43548012 47177013 52967148 57664854 62902684 79450722 94354026 115329708 141531039 158901444 188708052 283062078 318142421 566124156 636284842 954427263 1272569684 1908854526 2863281789 3817709052 4135851473 5726563578 8271702946 11453127156 12407554419 16543405892 24815108838 37222663257 49630217676 74445326514 148890653028