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153394422336 = 2632163192
BaseRepresentation
bin1000111011011100000…
…1010010001001000000
3112122221022200000221100
42032313001102021000
510003122433003321
6154245102454400
714040154035201
oct2166701221100
9478838600840
10153394422336
115a066174971
122588b594400
13116078a159c
1475d25095a8
153ecbad4326
hex23b7052240

153394422336 has 63 divisors (see below), whose sum is σ = 439704359731. Its totient is φ = 51128340864.

The previous prime is 153394422281. The next prime is 153394422341. The reversal of 153394422336 is 633224493351.

It is a happy number.

The square root of 153394422336 is 391656.

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

153394422336 is a `hidden beast` number, since 1 + 5 + 3 + 394 + 4 + 223 + 36 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153394422291 and 153394422300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9391585 + ... + 9407903.

Almost surely, 2153394422336 is an apocalyptic number.

153394422336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153394422336 is the 391656-th square number.

It is an amenable number.

153394422336 is an abundant number, since it is smaller than the sum of its proper divisors (286309937395).

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

153394422336 is an frugal number, since it uses more digits than its factorization.

153394422336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32656 (or 16324 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 153394422336 in words is "one hundred fifty-three billion, three hundred ninety-four million, four hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 16319 32638 48957 65276 97914 130552 146871 195828 261104 293742 391656 522208 587484 783312 1044416 1174968 1566624 2349936 3133248 4699872 9399744 266309761 532619522 798929283 1065239044 1597858566 2130478088 2396787849 3195717132 4260956176 4793575698 6391434264 8521912352 9587151396 12782868528 17043824704 19174302792 25565737056 38348605584 51131474112 76697211168 153394422336