Search a number
-
+
152557405540 = 225157170928429
BaseRepresentation
bin1000111000010100100…
…0010100010101100100
3112120202222200011202021
42032011020110111210
54444414143434130
6154030042352524
714010341360041
oct2160510242544
9476688604667
10152557405540
1159776750851
12256971bb744
131150335a987
1475532a61c8
153e7d39937a
hex2385214564

152557405540 has 48 divisors (see below), whose sum is σ = 322611130800. Its totient is φ = 60596669952.

The previous prime is 152557405537. The next prime is 152557405543. The reversal of 152557405540 is 45504755251.

It is an interprime number because it is at equal distance from previous prime (152557405537) and next prime (152557405543).

It can be written as a sum of positive squares in 8 ways, for example, as 26236872484 + 126320533056 = 161978^2 + 355416^2 .

It is not an unprimeable number, because it can be changed into a prime (152557405543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352046 + ... + 5380474.

It is an arithmetic number, because the mean of its divisors is an integer number (6721065225).

Almost surely, 2152557405540 is an apocalyptic number.

152557405540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152557405540 is an abundant number, since it is smaller than the sum of its proper divisors (170053725260).

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

152557405540 is a wasteful number, since it uses less digits than its factorization.

152557405540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30304 (or 30302 counting only the distinct ones).

The product of its (nonzero) digits is 700000, while the sum is 43.

The spelling of 152557405540 in words is "one hundred fifty-two billion, five hundred fifty-seven million, four hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 1709 3140 3418 6836 8545 17090 28429 34180 56858 113716 142145 268313 284290 536626 568580 1073252 1341565 2683130 4463353 5366260 8926706 17853412 22316765 44633530 48585161 89267060 97170322 194340644 242925805 485851610 971703220 7627870277 15255740554 30511481108 38139351385 76278702770 152557405540