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507056025132 = 223231954747591
BaseRepresentation
bin1110110000011101110…
…01001110111000101100
31210110210121100221001200
413120032321032320230
531301422320301012
61024534402205500
751430215046236
oct7301671167054
91713717327050
10507056025132
1118604a9a8628
1282330053890
1338a79c3b687
141a7823a5256
15d2ca3173dc
hex760ee4ee2c

507056025132 has 72 divisors (see below), whose sum is σ = 1323237307392. Its totient is φ = 163545890400.

The previous prime is 507056025121. The next prime is 507056025143. The reversal of 507056025132 is 231520650705.

507056025132 is a `hidden beast` number, since 5 + 0 + 70 + 560 + 25 + 1 + 3 + 2 = 666.

507056025132 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (507056025121) and next prime (507056025143).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10630657 + ... + 10678247.

It is an arithmetic number, because the mean of its divisors is an integer number (18378295936).

Almost surely, 2507056025132 is an apocalyptic number.

It is an amenable number.

507056025132 is an abundant number, since it is smaller than the sum of its proper divisors (816181282260).

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

507056025132 is a wasteful number, since it uses less digits than its factorization.

507056025132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57179 (or 57174 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 507056025132 its reverse (231520650705), we get a palindrome (738576675837).

The spelling of 507056025132 in words is "five hundred seven billion, fifty-six million, twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 9547 19094 28641 38188 47591 57282 85923 95182 114564 142773 171846 190364 285546 295957 343692 428319 571092 591914 856638 887871 1183828 1475321 1713276 1775742 2663613 2950642 3551484 4425963 5327226 5901284 8851926 10654452 13277889 17703852 26555778 53111556 454351277 908702554 1363053831 1817405108 2726107662 4089161493 5452215324 8178322986 14084889587 16356645972 28169779174 42254668761 56339558348 84509337522 126764006283 169018675044 253528012566 507056025132