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20107617336 = 2333238095003
BaseRepresentation
bin10010101110100000…
…011110010000111000
31220220100000210111000
4102232200132100320
5312140022223321
613123132005000
71311166633032
oct225640362070
956810023430
1020107617336
118589253574
123a92000760
131b85a87631
14d8a6dac52
157ca427826
hex4ae81e438

20107617336 has 128 divisors (see below), whose sum is σ = 58366656000. Its totient is φ = 6401919744.

The previous prime is 20107617247. The next prime is 20107617347. The reversal of 20107617336 is 63371670102.

20107617336 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 617 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20107617336.

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, 4016611 + ... + 4021613.

It is an arithmetic number, because the mean of its divisors is an integer number (455989500).

Almost surely, 220107617336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107617336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29183328000).

20107617336 is an abundant number, since it is smaller than the sum of its proper divisors (38259038664).

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

20107617336 is a wasteful number, since it uses less digits than its factorization.

20107617336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 20107617336 in words is "twenty billion, one hundred seven million, six hundred seventeen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 809 828 1242 1618 1656 2427 2484 3236 4854 4968 5003 6472 7281 9708 10006 14562 15009 18607 19416 20012 21843 29124 30018 37214 40024 43686 45027 55821 58248 60036 74428 87372 90054 111642 115069 120072 135081 148856 167463 174744 180108 223284 230138 270162 334926 345207 360216 446568 460276 502389 540324 669852 690414 920552 1004778 1035621 1080648 1339704 1380828 2009556 2071242 2761656 3106863 4019112 4047427 4142484 6213726 8094854 8284968 12142281 12427452 16189708 24284562 24854904 32379416 36426843 48569124 72853686 93090821 97138248 109280529 145707372 186181642 218561058 279272463 291414744 372363284 437122116 558544926 744726568 837817389 874244232 1117089852 1675634778 2234179704 2513452167 3351269556 5026904334 6702539112 10053808668 20107617336