Search a number
-
+
241537432325504 = 277536335026253
BaseRepresentation
bin110110111010110101010000…
…110110101000110110000000
31011200012202022221201100212112
4312322311100312220312000
5223124322130133404004
62213412433052114452
7101606334511462250
oct6672652066506600
91150182287640775
10241537432325504
116aa634a4752a07
122310b6a5465a28
13a4a0b61089b73
14439068cd0b960
151cdce224e4e6e
hexdbad50da8d80

241537432325504 has 64 divisors (see below), whose sum is σ = 549939338353440. Its totient is φ = 103514091749376.

The previous prime is 241537432325491. The next prime is 241537432325551. The reversal of 241537432325504 is 405523234735142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45542042 + ... + 50568294.

Almost surely, 2241537432325504 is an apocalyptic number.

It is an amenable number.

241537432325504 is an abundant number, since it is smaller than the sum of its proper divisors (308401906027936).

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

241537432325504 is an equidigital number, since it uses as much as digits as its factorization.

241537432325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079907 (or 5079895 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 50.

The spelling of 241537432325504 in words is "two hundred forty-one trillion, five hundred thirty-seven billion, four hundred thirty-two million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 53633 107266 214532 375431 429064 750862 858128 1501724 1716256 3003448 3432512 5026253 6006896 6865024 10052506 12013792 20105012 24027584 35183771 40210024 48055168 70367542 80420048 140735084 160840096 281470168 321680192 562940336 643360384 1125880672 2251761344 4503522688 269573027149 539146054298 1078292108596 1887011190043 2156584217192 3774022380086 4313168434384 7548044760172 8626336868768 15096089520344 17252673737536 30192179040688 34505347475072 60384358081376 120768716162752 241537432325504