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20558742672 = 24313191734037
BaseRepresentation
bin10011001001011001…
…011000010010010000
31222001202220100002210
4103021121120102100
5314101014231142
613240005112120
71325315300166
oct231131302220
958052810083
1020558742672
11879a968726
123b990b8640
131c283895c0
14dd05ad236
15804d3949c
hex4c9658490

20558742672 has 80 divisors (see below), whose sum is σ = 60205799360. Its totient is φ = 5992828416.

The previous prime is 20558742661. The next prime is 20558742689. The reversal of 20558742672 is 27624785502.

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

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 15 ways as a sum of consecutive naturals, for example, 855163 + ... + 878874.

It is an arithmetic number, because the mean of its divisors is an integer number (752572492).

Almost surely, 220558742672 is an apocalyptic number.

It is an amenable number.

20558742672 is an abundant number, since it is smaller than the sum of its proper divisors (39647056688).

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

20558742672 is a wasteful number, since it uses less digits than its factorization.

20558742672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734080 (or 1734074 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

It can be divided in two parts, 20558 and 742672, that added together give a triangular number (763230 = T1235).

The spelling of 20558742672 in words is "twenty billion, five hundred fifty-eight million, seven hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 1734037 3468074 5202111 6936148 10404222 13872296 20808444 22542481 27744592 32946703 41616888 45084962 65893406 67627443 83233776 90169924 98840109 131786812 135254886 180339848 197680218 263573624 270509772 360679696 395360436 428307139 527147248 541019544 790720872 856614278 1082039088 1284921417 1581441744 1713228556 2569842834 3426457112 5139685668 6852914224 10279371336 20558742672