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213177970944 = 283296192
BaseRepresentation
bin1100011010001001100…
…1011011000100000000
3202101020201221222012100
43012202121123010000
511443042030032234
6241533235430400
721254514566241
oct3064231330400
9671221858170
10213177970944
1182454452884
1235394a55400
1317144534313
14a464336cc8
15582a32d399
hex31a265b100

213177970944 has 81 divisors (see below), whose sum is σ = 614708550183. Its totient is φ = 71051936256.

The previous prime is 213177970939. The next prime is 213177970961. The reversal of 213177970944 is 449079771312.

It is a happy number.

The square root of 213177970944 is 461712.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2131779709442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22157367 + ... + 22166985.

Almost surely, 2213177970944 is an apocalyptic number.

213177970944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

213177970944 is the 461712-nd square number.

It is an amenable number.

213177970944 is an abundant number, since it is smaller than the sum of its proper divisors (401530579239).

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

213177970944 is an frugal number, since it uses more digits than its factorization.

213177970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19260 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 213177970944 in words is "two hundred thirteen billion, one hundred seventy-seven million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9619 19238 28857 38476 57714 76952 86571 115428 153904 173142 230856 307808 346284 461712 615616 692568 923424 1231232 1385136 1846848 2462464 2770272 3693696 5540544 7387392 11081088 22162176 92525161 185050322 277575483 370100644 555150966 740201288 832726449 1110301932 1480402576 1665452898 2220603864 2960805152 3330905796 4441207728 5921610304 6661811592 8882415456 11843220608 13323623184 17764830912 23686441216 26647246368 35529661824 53294492736 71059323648 106588985472 213177970944