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20698001424 = 24321926312
BaseRepresentation
bin10011010001101100…
…100111000000010000
31222102110221102012100
4103101230213000100
5314342142021144
613301502000400
71331626052322
oct232154470020
958373842170
1020698001424
118861533901
124017876100
131c4b197429
141004c9d612
15812196269
hex4d1b27010

20698001424 has 135 divisors (see below), whose sum is σ = 61231873599. Its totient is φ = 6525852480.

The previous prime is 20698001411. The next prime is 20698001473. The reversal of 20698001424 is 42410089602.

The square root of 20698001424 is 143868.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32801589 + ... + 32802219.

Almost surely, 220698001424 is an apocalyptic number.

20698001424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20698001424 is the 143868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20698001424

20698001424 is an abundant number, since it is smaller than the sum of its proper divisors (40533872175).

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

20698001424 is an equidigital number, since it uses as much as digits as its factorization.

20698001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 20698001424 by its sum of digits (36), we get a square (745128051264 = 8632082).

20698001424 divided by its sum of digits (36) gives a square (574944484 = 239782).

The spelling of 20698001424 in words is "twenty billion, six hundred ninety-eight million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 631 684 722 912 1083 1262 1368 1444 1893 2166 2524 2736 2888 3249 3786 4332 5048 5679 5776 6498 7572 8664 10096 11358 11989 12996 15144 17328 22716 23978 25992 30288 35967 45432 47956 51984 71934 90864 95912 107901 143868 191824 215802 227791 287736 398161 431604 455582 575472 683373 796322 863208 911164 1194483 1366746 1592644 1726416 1822328 2050119 2388966 2733492 3185288 3583449 3644656 4100238 4777932 5466984 6370576 7166898 7565059 8200476 9555864 10933968 14333796 15130118 16400952 19111728 22695177 28667592 30260236 32801904 45390354 57335184 60520472 68085531 90780708 121040944 136171062 143736121 181561416 272342124 287472242 363122832 431208363 544684248 574944484 862416726 1089368496 1149888968 1293625089 1724833452 2299777936 2587250178 3449666904 5174500356 6899333808 10349000712 20698001424