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21506071220676 = 22327235370009477
BaseRepresentation
bin1001110001111010001011…
…01111000101000111000100
32211010221221002011121110100
410320331011233011013010
510304323413213030201
6113423430331124100
74346522331125160
oct470750557050704
984127832147410
1021506071220676
1169417455a6379
1224b402b8a3630
13c000244713c3
14544c83d55ca0
15274650235886
hex138f45bc51c4

21506071220676 has 144 divisors (see below), whose sum is σ = 66053102379264. Its totient is φ = 5766540519168.

The previous prime is 21506071220663. The next prime is 21506071220687. The reversal of 21506071220676 is 67602217060512.

21506071220676 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 607 + 12 + 20 + 6 + 7 + 6 = 666.

It is a super-2 number, since 2×215060712206762 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34697551 + ... + 35311926.

It is an arithmetic number, because the mean of its divisors is an integer number (458702099856).

Almost surely, 221506071220676 is an apocalyptic number.

It is an amenable number.

21506071220676 is an abundant number, since it is smaller than the sum of its proper divisors (44547031158588).

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

21506071220676 is a wasteful number, since it uses less digits than its factorization.

21506071220676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70009570 (or 70009565 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 21506071220676 in words is "twenty-one trillion, five hundred six billion, seventy-one million, two hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 53 63 69 84 92 106 126 138 159 161 207 212 252 276 318 322 371 414 477 483 636 644 742 828 954 966 1113 1219 1449 1484 1908 1932 2226 2438 2898 3339 3657 4452 4876 5796 6678 7314 8533 10971 13356 14628 17066 21942 25599 34132 43884 51198 76797 102396 153594 307188 70009477 140018954 210028431 280037908 420056862 490066339 630085293 840113724 980132678 1260170586 1470199017 1610217971 1960265356 2520341172 2940398034 3220435942 3710502281 4410597051 4830653913 5880796068 6440871884 7421004562 8821194102 9661307826 11131506843 11271525797 14491961739 14842009124 17642388204 19322615652 22263013686 22543051594 25973515967 28983923478 33394520529 33814577391 44526027372 45086103188 51947031934 57967846956 66789041058 67629154782 77920547901 85341552463 101443732173 103894063868 133578082116 135258309564 155841095802 170683104926 202887464346 233761643703 256024657389 311682191604 341366209852 405774928692 467523287406 512049314778 597390867241 768073972167 935046574812 1024098629556 1194781734482 1536147944334 1792172601723 2389563468964 3072295888668 3584345203446 5376517805169 7168690406892 10753035610338 21506071220676