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20630151424 = 284721912
BaseRepresentation
bin10011001101101001…
…110010000100000000
31222020202021021111101
4103031221302010000
5314222304321144
613251035424144
71330143252031
oct231551620400
958222237441
1020630151424
118827201123
123bb8bb5054
131c3a0cc3bc
14dd9c7aa88
1580b2426d4
hex4cda72100

20630151424 has 81 divisors (see below), whose sum is σ = 42295961071. Its totient is φ = 10042749440.

The previous prime is 20630151413. The next prime is 20630151427. The reversal of 20630151424 is 42415103602.

The square root of 20630151424 is 143632.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20630151392 and 20630151401.

It is not an unprimeable number, because it can be changed into a prime (20630151427) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 108011169 + ... + 108011359.

Almost surely, 220630151424 is an apocalyptic number.

20630151424 is the 143632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20630151424

20630151424 is an abundant number, since it is smaller than the sum of its proper divisors (21665809647).

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

20630151424 is an frugal number, since it uses more digits than its factorization.

20630151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 20630151424 in words is "twenty billion, six hundred thirty million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 191 256 376 382 752 764 1504 1528 2209 3008 3056 4418 6016 6112 8836 8977 12032 12224 17672 17954 24448 35344 35908 36481 48896 70688 71816 72962 141376 143632 145924 282752 287264 291848 421919 565504 574528 583696 843838 1149056 1167392 1687676 1714607 2298112 2334784 3375352 3429214 4669568 6750704 6858428 9339136 13501408 13716856 27002816 27433712 54005632 54867424 80586529 108011264 109734848 161173058 219469696 322346116 438939392 644692232 1289384464 2578768928 5157537856 10315075712 20630151424