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20634599424 = 2163104953
BaseRepresentation
bin10011001101111010…
…110000000000000000
31222021001122021000010
4103031322300000000
5314224424140144
613251315024520
71330226125665
oct231572600000
958231567003
1020634599424
118829769a5a
123bba59b140
131c3acc8b5a
14dda6b7a6c
1580b8205b9
hex4cdeb0000

20634599424 has 68 divisors (see below), whose sum is σ = 55025702936. Its totient is φ = 6878134272.

The previous prime is 20634599411. The next prime is 20634599429. The reversal of 20634599424 is 42499543602.

It is a super-2 number, since 2×206345994242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20634599429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144132 + ... + 249084.

Almost surely, 220634599424 is an apocalyptic number.

20634599424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20634599424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512851468).

20634599424 is an abundant number, since it is smaller than the sum of its proper divisors (34391103512).

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

20634599424 is an frugal number, since it uses more digits than its factorization.

20634599424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104988 (or 104958 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 20634599424 in words is "twenty billion, six hundred thirty-four million, five hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 104953 196608 209906 314859 419812 629718 839624 1259436 1679248 2518872 3358496 5037744 6716992 10075488 13433984 20150976 26867968 40301952 53735936 80603904 107471872 161207808 214943744 322415616 429887488 644831232 859774976 1289662464 1719549952 2579324928 3439099904 5158649856 6878199808 10317299712 20634599424