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210328820676 = 2232134171154387
BaseRepresentation
bin1100001111100010010…
…0110001101111000100
3202002220011210010210100
43003320210301233010
511421223134230201
6240342420324100
721124100322552
oct3037044615704
9662804703710
10210328820676
1181222155037
123491a843630
1316aac1886a0
14a273b9abd2
155710135886
hex30f8931bc4

210328820676 has 144 divisors (see below), whose sum is σ = 594791503488. Its totient is φ = 62248435200.

The previous prime is 210328820641. The next prime is 210328820693. The reversal of 210328820676 is 676028823012.

It is a super-4 number, since 4×2103288206764 (a number of 46 digits) contains 4444 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, 1285155 + ... + 1439541.

It is an arithmetic number, because the mean of its divisors is an integer number (4130496552).

Almost surely, 2210328820676 is an apocalyptic number.

210328820676 is a gapful number since it is divisible by the number (26) 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 210328820676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297395751744).

210328820676 is an abundant number, since it is smaller than the sum of its proper divisors (384462682812).

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

210328820676 is a wasteful number, since it uses less digits than its factorization.

210328820676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154522 (or 154517 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 210328820676 in words is "two hundred ten billion, three hundred twenty-eight million, eight hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 71 78 82 117 123 142 156 164 213 234 246 284 369 426 468 492 533 639 738 852 923 1066 1278 1476 1599 1846 2132 2556 2769 2911 3198 3692 4797 5538 5822 6396 8307 8733 9594 11076 11644 16614 17466 19188 26199 33228 34932 37843 52398 75686 104796 113529 151372 154387 227058 308774 340587 454116 463161 617548 681174 926322 1362348 1389483 1852644 2007031 2778966 4014062 5557932 6021093 6329867 8028124 10961477 12042186 12659734 18063279 18989601 21922954 24084372 25319468 32884431 36126558 37979202 43845908 56968803 65768862 72253116 75958404 82288271 98653293 113937606 131537724 142499201 164576542 197306586 227875212 246864813 284998402 329153084 394613172 427497603 449420557 493729626 569996804 740594439 854995206 898841114 987459252 1282492809 1348261671 1481188878 1709990412 1797682228 2564985618 2696523342 2962377756 4044785013 5129971236 5393046684 5842467241 8089570026 11684934482 16179140052 17527401723 23369868964 35054803446 52582205169 70109606892 105164410338 210328820676