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148919147468 = 227138329316823
BaseRepresentation
bin1000101010110001000…
…1011101101111001100
3112020101102122111221022
42022230101131233030
54414441300204333
6152225034053312
713521232603460
oct2125421355714
9466342574838
10148919147468
1158179a816a3
1224a4087a238
1311073673b50
1472c9dd84a0
153d18c7bc98
hex22ac45dbcc

148919147468 has 96 divisors (see below), whose sum is σ = 325740635136. Its totient is φ = 58001179392.

The previous prime is 148919147449. The next prime is 148919147497. The reversal of 148919147468 is 864741919841.

148919147468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1489191474682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148919147468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8843705 + ... + 8860527.

It is an arithmetic number, because the mean of its divisors is an integer number (3393131616).

Almost surely, 2148919147468 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 148919147468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162870317568).

148919147468 is an abundant number, since it is smaller than the sum of its proper divisors (176821487668).

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

148919147468 is a wasteful number, since it uses less digits than its factorization.

148919147468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17223 (or 17221 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 62.

The spelling of 148919147468 in words is "one hundred forty-eight billion, nine hundred nineteen million, one hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 166 182 293 332 364 581 586 1079 1162 1172 2051 2158 2324 3809 4102 4316 7553 7618 8204 15106 15236 16823 24319 26663 30212 33646 48638 53326 67292 97276 106652 117761 170233 218699 235522 316147 340466 437398 471044 632294 680932 874796 1264588 1396309 1530893 2213029 2792618 3061786 4426058 4929139 5585236 6123572 8852116 9774163 9858278 18152017 19548326 19716556 34503973 36304034 39096652 64078807 69007946 72608068 127064119 128157614 138015892 254128238 256315228 409118537 448551649 508256476 818237074 897103298 1636474148 1794206596 2863829759 5318540981 5727659518 10637081962 11455319036 21274163924 37229786867 74459573734 148919147468