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20239821696 = 27337238501
BaseRepresentation
bin10010110110011000…
…110010101110000000
31221020112210110202210
4102312120302232000
5312422343243241
613144213342120
71314363434343
oct226630625600
957215713683
1020239821696
118646940676
123b0a337940
131ba7295573
14da00b245a
157d6d3e316
hex4b6632b80

20239821696 has 96 divisors (see below), whose sum is σ = 55255760280. Its totient is φ = 6564096000.

The previous prime is 20239821683. The next prime is 20239821709. The reversal of 20239821696 is 69612893202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20239821683) and next prime (20239821709).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506446 + ... + 544946.

Almost surely, 220239821696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20239821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27627880140).

20239821696 is an abundant number, since it is smaller than the sum of its proper divisors (35015938584).

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

20239821696 is an equidigital number, since it uses as much as digits as its factorization.

20239821696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38592 (or 38543 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 20239821696 in words is "twenty billion, two hundred thirty-nine million, eight hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1369 1776 2368 2738 3552 4107 4736 5476 7104 8214 10952 14208 16428 21904 32856 38501 43808 65712 77002 87616 115503 131424 154004 175232 231006 262848 308008 462012 525696 616016 924024 1232032 1424537 1848048 2464064 2849074 3696096 4273611 4928128 5698148 7392192 8547222 11396296 14784384 17094444 22792592 34188888 45585184 52707869 68377776 91170368 105415738 136755552 158123607 182340736 210831476 273511104 316247214 421662952 547022208 632494428 843325904 1264988856 1686651808 2529977712 3373303616 5059955424 6746607232 10119910848 20239821696