Search a number
-
+
505245022425 = 3252111349931469
BaseRepresentation
bin1110101101000101111…
…00110011100011011001
31210022010101122110101100
413112202330303203121
531234220211204200
61024034550142013
751334304555043
oct7264274634331
91708111573340
10505245022425
11185300709480
1281b05651909
133884b998540
141a64da66a93
15d221338d00
hex75a2f338d9

505245022425 has 144 divisors (see below), whose sum is σ = 1065322440000. Its totient is φ = 225663321600.

The previous prime is 505245022409. The next prime is 505245022481. The reversal of 505245022425 is 524220542505.

It is not a de Polignac number, because 505245022425 - 24 = 505245022409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505245022425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16039591 + ... + 16071059.

It is an arithmetic number, because the mean of its divisors is an integer number (7398072500).

Almost surely, 2505245022425 is an apocalyptic number.

505245022425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505245022425 is an abundant number, since it is smaller than the sum of its proper divisors (560077417575).

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

505245022425 is a wasteful number, since it uses less digits than its factorization.

505245022425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32008 (or 32000 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 505245022425 in words is "five hundred five billion, two hundred forty-five million, twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 499 585 715 825 975 1287 1497 2145 2475 2495 2925 3575 4491 5489 6435 6487 7485 10725 12475 16467 19461 22455 27445 31469 32175 32435 37425 49401 58383 71357 82335 94407 97305 112275 137225 157345 162175 214071 247005 283221 291915 346159 356785 409097 411675 472035 486525 642213 786725 1038477 1070355 1227291 1235025 1416105 1459575 1730795 1783925 2045485 2360175 3115431 3211065 3681873 4500067 5192385 5351775 6136455 7080525 8653975 10227425 13500201 15577155 15703031 16055325 18409365 22500335 25961925 30682275 40500603 47109093 67501005 77885775 78515155 92046825 112501675 141327279 172733341 202503015 204139403 235545465 337505025 392575775 518200023 612418209 706636395 863666705 1012515075 1020697015 1177727325 1554600069 1837254627 2245533433 2591000115 3062091045 3533181975 4318333525 5103485075 6736600299 7773000345 9186273135 11227667165 12955000575 15310455225 20209800897 33683001495 38865001725 45931365675 56138335825 101049004485 168415007475 505245022425