Search a number
-
+
152003295376 = 2429233612
BaseRepresentation
bin1000110110010000011…
…0100011100010010000
3112112100101000110111121
42031210012203202100
54442300320423001
6153455050052024
713660532456362
oct2154406434220
9475311013447
10152003295376
1159511996669
122556171a014
131144560b73a
1474dd866d32
153e498e36a1
hex23641a3890

152003295376 has 45 divisors (see below), whose sum is σ = 305102740683. Its totient is φ = 73359068160.

The previous prime is 152003295371. The next prime is 152003295397. The reversal of 152003295376 is 673592300251.

The square root of 152003295376 is 389876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12127295376 + 139876000000 = 110124^2 + 374000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152003295371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45223936 + ... + 45227296.

Almost surely, 2152003295376 is an apocalyptic number.

152003295376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152003295376 is the 389876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152003295376

152003295376 is an abundant number, since it is smaller than the sum of its proper divisors (153099445307).

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

152003295376 is an frugal number, since it uses more digits than its factorization.

152003295376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 152003295376 in words is "one hundred fifty-two billion, three million, two hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3361 3364 6722 6728 13444 13456 26888 53776 97469 194938 389876 779752 1559504 2826601 5653202 11296321 11306404 22592642 22612808 45185284 45225616 90370568 180741136 327593309 655186618 1310373236 2620746472 5241492944 9500205961 19000411922 38000823844 76001647688 152003295376