Search a number
-
+
238091336352 = 25324911683719
BaseRepresentation
bin1101110110111101011…
…0010111101010100000
3211202112222212001200200
43131233112113222200
512400102340230402
6301213323345200
723126060652522
oct3355726275240
9752488761620
10238091336352
1191a79396a71
123a188382200
13195b4b2665c
14b748daba12
1562d75db21c
hex376f597aa0

238091336352 has 72 divisors (see below), whose sum is σ = 678451606560. Its totient is φ = 79202094720.

The previous prime is 238091336317. The next prime is 238091336377. The reversal of 238091336352 is 253633190832.

238091336352 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 9 + 1 + 3 + 3 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 238091336298 and 238091336307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700452 + ... + 983267.

It is an arithmetic number, because the mean of its divisors is an integer number (9422938980).

Almost surely, 2238091336352 is an apocalyptic number.

It is an amenable number.

238091336352 is an abundant number, since it is smaller than the sum of its proper divisors (440360270208).

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

238091336352 is a wasteful number, since it uses less digits than its factorization.

238091336352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684226 (or 1684215 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 238091336352 in words is "two hundred thirty-eight billion, ninety-one million, three hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 491 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 15712 17676 23568 35352 47136 70704 141408 1683719 3367438 5051157 6734876 10102314 13469752 15153471 20204628 26939504 30306942 40409256 53879008 60613884 80818512 121227768 161637024 242455536 484911072 826706029 1653412058 2480118087 3306824116 4960236174 6613648232 7440354261 9920472348 13227296464 14880708522 19840944696 26454592928 29761417044 39681889392 59522834088 79363778784 119045668176 238091336352