Search a number
-
+
2351395631232 = 2732451792
BaseRepresentation
bin100010001101111010000…
…110011111000010000000
322022210100210201110110200
4202031322012133002000
5302011124240144412
65000114412525200
7331611530042034
oct42157206370200
98283323643420
102351395631232
1182724859557a
1231b871780800
13140974311a9b
1481b458181c4
15412728119dc
hex2237a19f080

2351395631232 has 72 divisors (see below), whose sum is σ = 6766535637615. Its totient is φ = 783781195008.

The previous prime is 2351395631231. The next prime is 2351395631239. The reversal of 2351395631232 is 2321365931532.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2351395631232 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 3 + 9 + 5 + 631 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1175697815616 + 1175697815616 = 1084296^2 + 1084296^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1084296.

It is a super-2 number, since 2×23513956312322 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2351395631231) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 52023619 + ... + 52068797.

Almost surely, 22351395631232 is an apocalyptic number.

It is an amenable number.

2351395631232 is an abundant number, since it is smaller than the sum of its proper divisors (4415140006383).

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

2351395631232 is an frugal number, since it uses more digits than its factorization.

2351395631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90378 (or 45184 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The spelling of 2351395631232 in words is "two trillion, three hundred fifty-one billion, three hundred ninety-five million, six hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 45179 90358 135537 180716 271074 361432 406611 542148 722864 813222 1084296 1445728 1626444 2168592 2891456 3252888 4337184 5782912 6505776 8674368 13011552 17348736 26023104 52046208 2041142041 4082284082 6123426123 8164568164 12246852246 16329136328 18370278369 24493704492 32658272656 36740556738 48987408984 65316545312 73481113476 97974817968 130633090624 146962226952 195949635936 261266181248 293924453904 391899271872 587848907808 783798543744 1175697815616 2351395631232