Search a number
-
+
155125983216 = 243233120111549
BaseRepresentation
bin1001000001111000111…
…0101010011111110000
3112211101222220102220210
42100132032222133300
510020144222430331
6155133000104120
714131111046511
oct2203616523760
9484358812823
10155125983216
115a874634216
1226093465040
131182254b419
147718488a08
15407db1e446
hex241e3aa7f0

155125983216 has 80 divisors (see below), whose sum is σ = 402832029600. Its totient is φ = 51439411200.

The previous prime is 155125983193. The next prime is 155125983253. The reversal of 155125983216 is 612389521551.

155125983216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13426210 + ... + 13437758.

It is an arithmetic number, because the mean of its divisors is an integer number (5035400370).

Almost surely, 2155125983216 is an apocalyptic number.

155125983216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

155125983216 is an abundant number, since it is smaller than the sum of its proper divisors (247706046384).

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

155125983216 is a wasteful number, since it uses less digits than its factorization.

155125983216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12994 (or 12988 counting only the distinct ones).

The product of its digits is 648000, while the sum is 48.

The spelling of 155125983216 in words is "one hundred fifty-five billion, one hundred twenty-five million, nine hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 233 466 699 932 1201 1398 1864 2402 2796 3603 3728 4804 5592 7206 9608 11184 11549 14412 19216 23098 28824 34647 46196 57648 69294 92392 138588 184784 277176 279833 554352 559666 839499 1119332 1678998 2238664 2690917 3357996 4477328 5381834 6715992 8072751 10763668 13431984 13870349 16145502 21527336 27740698 32291004 41611047 43054672 55481396 64582008 83222094 110962792 129164016 166444188 221925584 332888376 665776752 3231791317 6463582634 9695373951 12927165268 19390747902 25854330536 38781495804 51708661072 77562991608 155125983216