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20175314720 = 2551119160017
BaseRepresentation
bin10010110010100010…
…101101111100100000
31221002001102011211112
4102302202231330200
5312304340032340
613133551002452
71312651226351
oct226242557440
957061364745
1020175314720
118613491620
123ab0809428
131b96acb062
14d956bdd28
157d134b065
hex4b28adf20

20175314720 has 96 divisors (see below), whose sum is σ = 52270396416. Its totient is φ = 7297945600.

The previous prime is 20175314669. The next prime is 20175314807. The reversal of 20175314720 is 2741357102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306152 + ... + 366168.

It is an arithmetic number, because the mean of its divisors is an integer number (544483296).

Almost surely, 220175314720 is an apocalyptic number.

20175314720 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 20175314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26135198208).

20175314720 is an abundant number, since it is smaller than the sum of its proper divisors (32095081696).

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

20175314720 is a wasteful number, since it uses less digits than its factorization.

20175314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60234 (or 60226 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 20175314720 in words is "twenty billion, one hundred seventy-five million, three hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 191 220 352 382 440 764 880 955 1528 1760 1910 2101 3056 3820 4202 6112 7640 8404 10505 15280 16808 21010 30560 33616 42020 60017 67232 84040 120034 168080 240068 300085 336160 480136 600170 660187 960272 1200340 1320374 1920544 2400680 2640748 3300935 4801360 5281496 6601870 9602720 10562992 11463247 13203740 21125984 22926494 26407480 45852988 52814960 57316235 91705976 105629920 114632470 126095717 183411952 229264940 252191434 366823904 458529880 504382868 630478585 917059760 1008765736 1260957170 1834119520 2017531472 2521914340 4035062944 5043828680 10087657360 20175314720