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20101738880 = 27537222943
BaseRepresentation
bin10010101110001010…
…000011000110000000
31220212220222010202102
4102232022003012000
5312132021121010
613122402005532
71311065650466
oct225612030600
956786863672
1020101738880
1185859a8a43
123a900468a8
131b847a9a62
14d89a0a836
157c9b65ba5
hex4ae283180

20101738880 has 96 divisors (see below), whose sum is σ = 49391778240. Its totient is φ = 7823038464.

The previous prime is 20101738871. The next prime is 20101738897. The reversal of 20101738880 is 8883710102.

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, 864689 + ... + 887631.

It is an arithmetic number, because the mean of its divisors is an integer number (514497690).

Almost surely, 220101738880 is an apocalyptic number.

20101738880 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 20101738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695889120).

20101738880 is an abundant number, since it is smaller than the sum of its proper divisors (29290039360).

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

20101738880 is an equidigital number, since it uses as much as digits as its factorization.

20101738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23036 (or 22987 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 20101738880 in words is "twenty billion, one hundred one million, seven hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1369 1480 2368 2738 2960 4736 5476 5920 6845 10952 11840 13690 21904 22943 23680 27380 43808 45886 54760 87616 91772 109520 114715 175232 183544 219040 229430 367088 438080 458860 734176 848891 876160 917720 1468352 1697782 1835440 2936704 3395564 3670880 4244455 6791128 7341760 8488910 13582256 14683520 16977820 27164512 31408967 33955640 54329024 62817934 67911280 108658048 125635868 135822560 157044835 251271736 271645120 314089670 502543472 543290240 628179340 1005086944 1256358680 2010173888 2512717360 4020347776 5025434720 10050869440 20101738880