Search a number
-
+
507006148607995 = 52919118306775541
BaseRepresentation
bin111001101000111101001000…
…1011000101111111111111011
32110111011022111020020021022211
41303101322101120233333323
51012423242043020423440
64554151224221155551
7211535662001505001
oct16321722130577773
92414138436207284
10507006148607995
111376031112a2323
1248a452313bbbb7
13189b9622aba4aa
148d2b32b106a71
153d935d7cdbeea
hex1cd1e9162fffb

507006148607995 has 16 divisors (see below), whose sum is σ = 632682162731520. Its totient is φ = 389568183491200.

The previous prime is 507006148607977. The next prime is 507006148608079. The reversal of 507006148607995 is 599706841600705.

It is not a de Polignac number, because 507006148607995 - 213 = 507006148599803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 507006148607995.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9153360076 + ... + 9153415465.

It is an arithmetic number, because the mean of its divisors is an integer number (39542635170720).

Almost surely, 2507006148607995 is an apocalyptic number.

507006148607995 is a deficient number, since it is larger than the sum of its proper divisors (125676014123525).

507006148607995 is a wasteful number, since it uses less digits than its factorization.

507006148607995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18306775766.

The product of its (nonzero) digits is 114307200, while the sum is 67.

The spelling of 507006148607995 in words is "five hundred seven trillion, six billion, one hundred forty-eight million, six hundred seven thousand, nine hundred ninety-five".

Divisors: 1 5 29 145 191 955 5539 27695 18306775541 91533877705 530896490689 2654482453445 3496594128331 17482970641655 101401229721599 507006148607995