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21517101947420 = 22517319137223429
BaseRepresentation
bin1001110010001110101110…
…01101111101101000011100
32211012000101211102120212022
410321013113031331220130
510310014011044304140
6113432453053555312
74350362562554312
oct471072715755034
984160354376768
1021517101947420
116946396110672
1224b61a9aa5b38
13c01091866751
1454560cd440b2
15274a988440b5
hex1391d737da1c

21517101947420 has 96 divisors (see below), whose sum is σ = 49392887201280. Its totient is φ = 7838354718720.

The previous prime is 21517101947377. The next prime is 21517101947503. The reversal of 21517101947420 is 2474910171512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96192266 + ... + 96415694.

It is an arithmetic number, because the mean of its divisors is an integer number (514509241680).

Almost surely, 221517101947420 is an apocalyptic number.

21517101947420 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 21517101947420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696443600640).

21517101947420 is an abundant number, since it is smaller than the sum of its proper divisors (27875785253860).

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

21517101947420 is a wasteful number, since it uses less digits than its factorization.

21517101947420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232623 (or 232621 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 44.

The spelling of 21517101947420 in words is "twenty-one trillion, five hundred seventeen billion, one hundred one million, nine hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 9137 10540 18274 36548 45685 91370 155329 182740 223429 283247 310658 446858 566494 621316 776645 893716 1117145 1132988 1416235 1553290 2234290 2832470 3106580 3798293 4468580 4815199 5664940 6926299 7596586 9630398 13852598 15193172 18991465 19260796 24075995 27705196 34631495 37982930 48151990 69262990 75965860 96303980 117747083 138525980 235494166 470988332 588735415 1177470830 2041470773 2354941660 4082941546 8165883092 10207353865 20414707730 34705003141 40829415460 63285593963 69410006282 126571187926 138820012564 173525015705 253142375852 316427969815 347050031410 632855939630 694100062820 1075855097371 1265711879260 2151710194742 4303420389484 5379275486855 10758550973710 21517101947420