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20461964292 = 223272111054523
BaseRepresentation
bin10011000011101000…
…001100110000000100
31221211000210111010100
4103003220030300010
5313401230324132
613222230524100
71323031553400
oct230350146004
957730714110
1020461964292
1187502776a0
123b70806630
131c113032a3
14dc17ba100
157eb5be37c
hex4c3a0cc04

20461964292 has 108 divisors (see below), whose sum is σ = 65637791856. Its totient is φ = 5314790880.

The previous prime is 20461964267. The next prime is 20461964293. The reversal of 20461964292 is 29246916402.

20461964292 is a `hidden beast` number, since 2 + 0 + 4 + 619 + 6 + 4 + 29 + 2 = 666.

It is a super-2 number, since 2×204619642922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20461964293) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 507858 + ... + 546665.

It is an arithmetic number, because the mean of its divisors is an integer number (607757332).

Almost surely, 220461964292 is an apocalyptic number.

20461964292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20461964292 is an abundant number, since it is smaller than the sum of its proper divisors (45175827564).

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

20461964292 is a wasteful number, since it uses less digits than its factorization.

20461964292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054558 (or 1054546 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20461964292 in words is "twenty billion, four hundred sixty-one million, nine hundred sixty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 1054523 2109046 3163569 4218092 6327138 7381661 9490707 11599753 12654276 14763322 18981414 22144983 23199506 29526644 34799259 37962828 44289966 46399012 51671627 66434949 69598518 81198271 88579932 103343254 104397777 132869898 139197036 155014881 162396542 206686508 208795554 243594813 265739796 310029762 324793084 417591108 465044643 487189626 568387897 620059524 730784439 930089286 974379252 1136775794 1461568878 1705163691 1860178572 2273551588 2923137756 3410327382 5115491073 6820654764 10230982146 20461964292