Search a number
-
+
536367697632 = 2532131093131071
BaseRepresentation
bin1111100111000100000…
…00011000111011100000
31220021110101110011121200
413303202000120323200
532241440112311012
61050223125121200
753515456130334
oct7634200307340
91807411404550
10536367697632
11197521644a58
1287b50559200
133b76b8202a0
141bd632337c4
15de437c73dc
hex7ce2018ee0

536367697632 has 144 divisors (see below), whose sum is σ = 1644141477888. Its totient is φ = 164883962880.

The previous prime is 536367697553. The next prime is 536367697643. The reversal of 536367697632 is 236796763635.

It is a happy number.

536367697632 is a `hidden beast` number, since 536 + 3 + 6 + 7 + 6 + 97 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 536367697632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4026657 + ... + 4157727.

It is an arithmetic number, because the mean of its divisors is an integer number (11417649152).

Almost surely, 2536367697632 is an apocalyptic number.

536367697632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536367697632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822070738944).

536367697632 is an abundant number, since it is smaller than the sum of its proper divisors (1107773780256).

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

536367697632 is a wasteful number, since it uses less digits than its factorization.

536367697632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132193 (or 132182 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 63.

The spelling of 536367697632 in words is "five hundred thirty-six billion, three hundred sixty-seven million, six hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1093 1248 1872 2186 3279 3744 4372 6558 8744 9837 13116 14209 17488 19674 26232 28418 34976 39348 42627 52464 56836 78696 85254 104928 113672 127881 131071 157392 170508 227344 255762 262142 314784 341016 393213 454688 511524 524284 682032 786426 1023048 1048568 1179639 1364064 1572852 1703923 2046096 2097136 2359278 3145704 3407846 4092192 4194272 4718556 5111769 6291408 6815692 9437112 10223538 12582816 13631384 15335307 18874224 20447076 27262768 30670614 37748448 40894152 54525536 61341228 81788304 122682456 143260603 163576608 245364912 286521206 429781809 490729824 573042412 859563618 1146084824 1289345427 1719127236 1862387839 2292169648 2578690854 3438254472 3724775678 4584339296 5157381708 5587163517 6876508944 7449551356 10314763416 11174327034 13753017888 14899102712 16761490551 20629526832 22348654068 29798205424 33522981102 41259053664 44697308136 59596410848 67045962204 89394616272 134091924408 178789232544 268183848816 536367697632