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20973350540 = 225109157233263
BaseRepresentation
bin10011100010000110…
…111110111010001100
32000010200001121011202
4103202012332322030
5320423134204130
613345055405032
71341511352402
oct234206767214
960120047152
1020973350540
118992a0075a
124093b23778
131c93243bbc
14102d697472
1582b436145
hex4e21bee8c

20973350540 has 96 divisors (see below), whose sum is σ = 45094008960. Its totient is φ = 8192710656.

The previous prime is 20973350521. The next prime is 20973350543. The reversal of 20973350540 is 4505337902.

It is a junction number, because it is equal to n+sod(n) for n = 20973350494 and 20973350503.

It is not an unprimeable number, because it can be changed into a prime (20973350543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79746449 + ... + 79746711.

It is an arithmetic number, because the mean of its divisors is an integer number (469729260).

Almost surely, 220973350540 is an apocalyptic number.

20973350540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20973350540 is an abundant number, since it is smaller than the sum of its proper divisors (24120658420).

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

20973350540 is a wasteful number, since it uses less digits than its factorization.

20973350540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The spelling of 20973350540 in words is "twenty billion, nine hundred seventy-three million, three hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 109 157 218 233 263 314 436 466 526 545 628 785 932 1052 1090 1165 1315 1570 2180 2330 2630 3140 4660 5260 17113 25397 28667 34226 36581 41291 50794 57334 61279 68452 73162 82582 85565 101588 114668 122558 126985 143335 146324 165164 171130 182905 206455 245116 253970 286670 306395 342260 365810 412910 507940 573340 612790 731620 825820 1225580 3987329 4500719 6679411 7974658 9001438 9620803 13358822 15949316 18002876 19241606 19936645 22503595 26717644 33397055 38483212 39873290 45007190 48104015 66794110 79746580 90014380 96208030 133588220 192416060 1048667527 2097335054 4194670108 5243337635 10486675270 20973350540