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20206715328 = 263328574093
BaseRepresentation
bin10010110100011010…
…100000000111000000
31221011020111111101000
4102310122200013000
5312340404342303
613141032012000
71313512150332
oct226432400700
957136444330
1020206715328
11862a189338
123abb231000
131ba04736b7
14d99935452
157d3e9eda3
hex4b46a01c0

20206715328 has 112 divisors (see below), whose sum is σ = 59439312160. Its totient is φ = 6731569152.

The previous prime is 20206715227. The next prime is 20206715329. The reversal of 20206715328 is 82351760202.

It is a super-2 number, since 2×202067153282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20206715292 and 20206715301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20206715329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4934850 + ... + 4938942.

Almost surely, 220206715328 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 20206715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719656080).

20206715328 is an abundant number, since it is smaller than the sum of its proper divisors (39232596832).

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

20206715328 is a wasteful number, since it uses less digits than its factorization.

20206715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20206715328 in words is "twenty billion, two hundred six million, seven hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2857 4093 5714 8186 8571 11428 12279 16372 17142 22856 24558 25713 32744 34284 36837 45712 49116 51426 65488 68568 73674 77139 91424 98232 102852 110511 130976 137136 147348 154278 182848 196464 205704 221022 261952 274272 294696 308556 392928 411408 442044 548544 589392 617112 785856 822816 884088 1178784 1234224 1645632 1768176 2357568 2468448 3536352 4936896 7072704 11693701 23387402 35081103 46774804 70162206 93549608 105243309 140324412 187099216 210486618 280648824 315729927 374198432 420973236 561297648 631459854 748396864 841946472 1122595296 1262919708 1683892944 2245190592 2525839416 3367785888 5051678832 6735571776 10103357664 20206715328