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20048462440 = 23517231281871
BaseRepresentation
bin10010101010111110…
…110100001001101000
31220202012201102012221
4102222332310021220
5312024401244230
613113220043424
71306551055546
oct225276641150
956665642187
1020048462440
11855891a626
123a76233574
131b76745236
14d828dcd96
157c514027a
hex4aafb4268

20048462440 has 64 divisors (see below), whose sum is σ = 49839183360. Its totient is φ = 7219491840.

The previous prime is 20048462431. The next prime is 20048462453. The reversal of 20048462440 is 4426484002.

20048462440 = 90202 + 90212 + ... + 92592.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 20048462396 and 20048462405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625296 + ... + 656575.

It is an arithmetic number, because the mean of its divisors is an integer number (778737240).

Almost surely, 220048462440 is an apocalyptic number.

20048462440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20048462440 is an abundant number, since it is smaller than the sum of its proper divisors (29790720920).

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

20048462440 is a wasteful number, since it uses less digits than its factorization.

20048462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281922 (or 1281918 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The spelling of 20048462440 in words is "twenty billion, forty-eight million, four hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 1281871 2563742 5127484 6409355 10254968 12818710 21791807 25637420 29483033 43583614 51274840 58966066 87167228 108959035 117932132 147415165 174334456 217918070 235864264 294830330 435836140 501211561 589660660 871672280 1002423122 1179321320 2004846244 2506057805 4009692488 5012115610 10024231220 20048462440