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148525866960 = 24351439430061
BaseRepresentation
bin1000101001010011010…
…1001101111111010000
3112012101000121210111120
42022110311031333100
54413140110220320
6152122024442240
713505416016202
oct2122465157720
9465330553446
10148525866960
1157a97a86189
1224951019380
1311010045ba3
14728daa2772
153ce4494440
hex2294d4dfd0

148525866960 has 80 divisors (see below), whose sum is σ = 460751224320. Its totient is φ = 39579281920.

The previous prime is 148525866943. The next prime is 148525867037. The reversal of 148525866960 is 69668525841.

148525866960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 148525866894 and 148525866903.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 130330 + ... + 560390.

It is an arithmetic number, because the mean of its divisors is an integer number (5759390304).

Almost surely, 2148525866960 is an apocalyptic number.

148525866960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148525866960 is an abundant number, since it is smaller than the sum of its proper divisors (312225357360).

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

148525866960 is a wasteful number, since it uses less digits than its factorization.

148525866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431516 (or 431510 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 148525866960 in words is "one hundred forty-eight billion, five hundred twenty-five million, eight hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1439 2878 4317 5756 7195 8634 11512 14390 17268 21585 23024 28780 34536 43170 57560 69072 86340 115120 172680 345360 430061 860122 1290183 1720244 2150305 2580366 3440488 4300610 5160732 6450915 6880976 8601220 10321464 12901830 17202440 20642928 25803660 34404880 51607320 103214640 618857779 1237715558 1856573337 2475431116 3094288895 3713146674 4950862232 6188577790 7426293348 9282866685 9901724464 12377155580 14852586696 18565733370 24754311160 29705173392 37131466740 49508622320 74262933480 148525866960