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469293392964 = 2231128027126851
BaseRepresentation
bin1101101010001000001…
…00001110010001000100
31122212022212022110020110
412311010010032101010
530142103102033324
6555331310033020
745622346010564
oct6650404162104
91585285273213
10469293392964
11171031982110
1276b514a8770
133533c572206
14189dd000da4
15c319e7e329
hex6d4410e444

469293392964 has 48 divisors (see below), whose sum is σ = 1194617039616. Its totient is φ = 142203924000.

The previous prime is 469293392947. The next prime is 469293392993.

469293392964 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 469293392895 and 469293392904.

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, 3636139 + ... + 3762989.

It is an arithmetic number, because the mean of its divisors is an integer number (24887854992).

Almost surely, 2469293392964 is an apocalyptic number.

469293392964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

469293392964 is an abundant number, since it is smaller than the sum of its proper divisors (725323646652).

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

469293392964 is a wasteful number, since it uses less digits than its factorization.

469293392964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154896 (or 154894 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 66.

The spelling of 469293392964 in words is "four hundred sixty-nine billion, two hundred ninety-three million, three hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 28027 56054 84081 112108 126851 168162 253702 308297 336324 380553 507404 616594 761106 924891 1233188 1395361 1522212 1849782 2790722 3699564 4186083 5581444 8372166 16744332 3555252977 7110505954 10665758931 14221011908 21331517862 39107782747 42663035724 78215565494 117323348241 156431130988 234646696482 469293392964