Search a number
-
+
10047366640632 = 23317131187983959
BaseRepresentation
bin1001001000110101010110…
…1110000011001111111000
31022120112000020220220111210
42102031111232003033320
52304104001330000012
633211410240323120
72054620053216426
oct222152556031770
938515006826453
1010047366640632
113224078597212
1211632b69134a0
1357b602475229
1426a41bc16116
1512654d51823c
hex92355b833f8

10047366640632 has 64 divisors (see below), whose sum is σ = 26798993337600. Its totient is φ = 3128053061120.

The previous prime is 10047366640609. The next prime is 10047366640679. The reversal of 10047366640632 is 23604666374001.

10047366640632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100473666406322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93938532 + ... + 94045427.

It is an arithmetic number, because the mean of its divisors is an integer number (418734270900).

Almost surely, 210047366640632 is an apocalyptic number.

10047366640632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10047366640632 is an abundant number, since it is smaller than the sum of its proper divisors (16751626696968).

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

10047366640632 is a wasteful number, since it uses less digits than its factorization.

10047366640632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187984116 (or 187984112 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 10047366640632 in words is "ten trillion, forty-seven billion, three hundred sixty-six million, six hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 393 408 524 786 1048 1572 2227 3144 4454 6681 8908 13362 17816 26724 53448 187983959 375967918 563951877 751935836 1127903754 1503871672 2255807508 3195727303 4511615016 6391454606 9587181909 12782909212 19174363818 24625898629 25565818424 38348727636 49251797258 73877695887 76697455272 98503594516 147755391774 197007189032 295510783548 418640276693 591021567096 837280553386 1255920830079 1674561106772 2511841660158 3349122213544 5023683320316 10047366640632