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206271971328 = 21533756711
BaseRepresentation
bin1100000000011011000…
…1001000000000000000
3201201102110002211200210
43000012301020000000
511334421111040303
6234432100114120
720621416553463
oct3000661100000
9651373084623
10206271971328
117a530172085
1233b88095940
13165b3851107
149dab0892da
155573dd1203
hex3006c48000

206271971328 has 128 divisors (see below), whose sum is σ = 564926379840. Its totient is φ = 66897838080.

The previous prime is 206271971287. The next prime is 206271971333. The reversal of 206271971328 is 823179172602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3608893 + ... + 3665603.

Almost surely, 2206271971328 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 206271971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282463189920).

206271971328 is an abundant number, since it is smaller than the sum of its proper divisors (358654408512).

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

206271971328 is an frugal number, since it uses more digits than its factorization.

206271971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56781 (or 56753 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 206271971328 in words is "two hundred six billion, two hundred seventy-one million, nine hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4096 4736 6144 7104 8192 9472 12288 14208 16384 18944 24576 28416 32768 37888 49152 56711 56832 75776 98304 113422 113664 151552 170133 226844 227328 303104 340266 453688 454656 606208 680532 907376 909312 1212416 1361064 1814752 1818624 2098307 2722128 3629504 3637248 4196614 5444256 6294921 7259008 8393228 10888512 12589842 14518016 16786456 21777024 25179684 29036032 33572912 43554048 50359368 58072064 67145824 87108096 100718736 116144128 134291648 174216192 201437472 232288256 268583296 348432384 402874944 464576512 537166592 696864768 805749888 929153024 1074333184 1393729536 1611499776 1858306048 2148666368 2787459072 3222999552 4297332736 5574918144 6445999104 8594665472 12891998208 17189330944 25783996416 34378661888 51567992832 68757323776 103135985664 206271971328