Search a number
-
+
152238573816 = 233731190115377
BaseRepresentation
bin1000110111001000100…
…0000100100011111000
3112112221202201211211220
42031302020010203320
54443241033330231
6153534252552040
713666420345350
oct2156210044370
9475852654756
10152238573816
115962278485a
1225608482620
1311482298454
147522bcdb60
153e603ba896
hex23722048f8

152238573816 has 128 divisors (see below), whose sum is σ = 449263964160. Its totient is φ = 42068736000.

The previous prime is 152238573761. The next prime is 152238573869. The reversal of 152238573816 is 618375832251.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9892720 + ... + 9908096.

It is an arithmetic number, because the mean of its divisors is an integer number (3509874720).

Almost surely, 2152238573816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152238573816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224631982080).

152238573816 is an abundant number, since it is smaller than the sum of its proper divisors (297025390344).

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

152238573816 is a wasteful number, since it uses less digits than its factorization.

152238573816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325 (or 17321 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 152238573816 in words is "one hundred fifty-two billion, two hundred thirty-eight million, five hundred seventy-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 1901 2604 3802 5208 5703 7604 11406 13307 15208 15377 22812 26614 30754 39921 45624 46131 53228 58931 61508 79842 92262 106456 107639 117862 123016 159684 176793 184524 215278 235724 319368 322917 353586 369048 412517 430556 471448 476687 645834 707172 825034 861112 953374 1237551 1291668 1414344 1430061 1650068 1906748 2475102 2583336 2860122 3300136 3336809 3813496 4950204 5720244 6673618 9900408 10010427 11440488 13347236 20020854 26694472 29231677 40041708 58463354 80083416 87695031 116926708 175390062 204621739 233853416 350780124 409243478 613865217 701560248 818486956 906181987 1227730434 1636973912 1812363974 2455460868 2718545961 3624727948 4910921736 5437091922 6343273909 7249455896 10874183844 12686547818 19029821727 21748367688 25373095636 38059643454 50746191272 76119286908 152238573816