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20088042426420 = 22357125791828423
BaseRepresentation
bin1001001000101000111001…
…01000100001000000110100
32122010101202012211011122220
410210110130220201000310
510113110302330121140
6110420152544522340
74142212263215553
oct444243450410064
978111665734586
1020088042426420
11644532228a121
1223052449203b0
13b293a9694a47
144d63a3185d9a
1524c809430bd0
hex12451ca21034

20088042426420 has 96 divisors (see below), whose sum is σ = 57060871096320. Its totient is φ = 5279312545920.

The previous prime is 20088042426391. The next prime is 20088042426421. The reversal of 20088042426420 is 2462424088002.

It is a super-2 number, since 2×200880424264202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20088042426421) 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, 10072329 + ... + 11900751.

It is an arithmetic number, because the mean of its divisors is an integer number (594384073920).

Almost surely, 220088042426420 is an apocalyptic number.

20088042426420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20088042426420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28530435548160).

20088042426420 is an abundant number, since it is smaller than the sum of its proper divisors (36972828669900).

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

20088042426420 is a wasteful number, since it uses less digits than its factorization.

20088042426420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831085 (or 1831083 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 20088042426420 in words is "twenty trillion, eighty-eight billion, forty-two million, four hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 2579 4260 5158 7737 10316 12895 15474 25790 30948 38685 51580 77370 154740 183109 366218 549327 732436 915545 1098654 1828423 1831090 2197308 2746635 3656846 3662180 5485269 5493270 7313692 9142115 10970538 10986540 18284230 21941076 27426345 36568460 54852690 109705380 129818033 259636066 389454099 519272132 649090165 778908198 1298180330 1557816396 1947270495 2596360660 3894540990 4715502917 7789081980 9431005834 14146508751 18862011668 23577514585 28293017502 47155029170 56586035004 70732543755 94310058340 141465087510 282930175020 334800707107 669601414214 1004402121321 1339202828428 1674003535535 2008804242642 3348007071070 4017608485284 5022010606605 6696014142140 10044021213210 20088042426420