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148461685820 = 22572517395717
BaseRepresentation
bin1000101001000100000…
…0011000110000111100
3112012012112212001112022
42022101000120300330
54413022142421240
6152111413055312
713504006336160
oct2122100306074
9465175761468
10148461685820
1157a64829a18
1224933627538
1310ccc963a96
147285356ca0
153cdda179b5
hex2291018c3c

148461685820 has 96 divisors (see below), whose sum is σ = 358274327040. Its totient is φ = 50620896000.

The previous prime is 148461685817. The next prime is 148461685909. The reversal of 148461685820 is 28586164841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25965602 + ... + 25971318.

It is an arithmetic number, because the mean of its divisors is an integer number (3732024240).

Almost surely, 2148461685820 is an apocalyptic number.

148461685820 is a gapful number since it is divisible by the number (10) 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 148461685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179137163520).

148461685820 is an abundant number, since it is smaller than the sum of its proper divisors (209812641220).

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

148461685820 is a wasteful number, since it uses less digits than its factorization.

148461685820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 53.

The spelling of 148461685820 in words is "one hundred forty-eight billion, four hundred sixty-one million, six hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 739 1004 1255 1478 1757 2510 2956 3514 3695 5020 5173 5717 7028 7390 8785 10346 11434 14780 17570 20692 22868 25865 28585 35140 40019 51730 57170 80038 103460 114340 160076 185489 200095 370978 400190 741956 800380 927445 1298423 1434967 1854890 2596846 2869934 3709780 4224863 5193692 5739868 6492115 7174835 8449726 10044769 12984230 14349670 16899452 20089538 21124315 25968460 28699340 29574041 40179076 42248630 50223845 59148082 84497260 100447690 118296164 147870205 200895380 295740410 591480820 1060440613 2120881226 4241762452 5302203065 7423084291 10604406130 14846168582 21208812260 29692337164 37115421455 74230842910 148461685820