Search a number
-
+
507921380676 = 223343983111263
BaseRepresentation
bin1110110010000100111…
…10010011010101000100
31210120000220200112201000
413121002132103111010
531310210333140201
61025200313533300
751460523333553
oct7310236232504
91716026615630
10507921380676
11186454417aa6
1282531a14230
1338b872c5088
141a8252a3d9a
15d32b29dd86
hex7642793544

507921380676 has 96 divisors (see below), whose sum is σ = 1348840120320. Its totient is φ = 165200037408.

The previous prime is 507921380669. The next prime is 507921380683. The reversal of 507921380676 is 676083129705.

It is an interprime number because it is at equal distance from previous prime (507921380669) and next prime (507921380683).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4509421 + ... + 4620683.

It is an arithmetic number, because the mean of its divisors is an integer number (14050417920).

Almost surely, 2507921380676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507921380676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674420060160).

507921380676 is an abundant number, since it is smaller than the sum of its proper divisors (840918739644).

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

507921380676 is a wasteful number, since it uses less digits than its factorization.

507921380676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112302 (or 112294 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 507921380676 in words is "five hundred seven billion, nine hundred twenty-one million, three hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 983 1161 1548 1966 2322 2949 3932 4644 5898 8847 11796 17694 26541 35388 42269 53082 84538 106164 111263 126807 169076 222526 253614 333789 380421 445052 507228 667578 760842 1001367 1141263 1335156 1521684 2002734 2282526 3004101 4005468 4565052 4784309 6008202 9568618 12016404 14352927 19137236 28705854 43058781 57411708 86117562 109371529 129176343 172235124 218743058 258352686 328114587 437486116 516705372 656229174 984343761 1312458348 1968687522 2953031283 3937375044 4702975747 5906062566 9405951494 11812125132 14108927241 18811902988 28217854482 42326781723 56435708964 84653563446 126980345169 169307126892 253960690338 507921380676