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23212357770564 = 223219467663710949
BaseRepresentation
bin1010100011100100011000…
…10101101101110101000100
310001012002011010100020220100
411101302030111231311010
511020302402042124224
6121211335425404100
74614015602366424
oct521621425556504
9101162133306810
1023212357770564
11743a33a8a8936
12272a863799630
13cc4bba441681
145a36ac584484
152a3c178e0ac9
hex151c8c56dd44

23212357770564 has 144 divisors (see below), whose sum is σ = 61911112536000. Its totient is φ = 7312751808768.

The previous prime is 23212357770557. The next prime is 23212357770631. The reversal of 23212357770564 is 46507775321232.

It is a happy number.

23212357770564 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 3 + 5 + 7 + 7 + 70 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23212357770564.

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, 2120038162 + ... + 2120049110.

It is an arithmetic number, because the mean of its divisors is an integer number (429938281500).

Almost surely, 223212357770564 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 23212357770564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30955556268000).

23212357770564 is an abundant number, since it is smaller than the sum of its proper divisors (38698754765436).

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

23212357770564 is a wasteful number, since it uses less digits than its factorization.

23212357770564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18082 (or 18077 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 23212357770564 in words is "twenty-three trillion, two hundred twelve billion, three hundred fifty-seven million, seven hundred seventy thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 467 684 934 1401 1868 2802 4203 5604 6637 8406 8873 10949 13274 16812 17746 19911 21898 26548 26619 32847 35492 39822 43796 53238 59733 65694 79644 79857 98541 106476 119466 126103 131388 159714 197082 208031 238932 252206 319428 378309 394164 416062 504412 624093 756618 832124 1134927 1248186 1513236 1872279 2269854 2496372 3099479 3744558 4539708 5113183 6198958 7489116 9298437 10226366 12397916 15339549 18596874 20452732 27895311 30679098 37193748 46018647 55790622 58890101 61358196 72668513 92037294 97150477 111581244 117780202 145337026 176670303 184074588 194300954 218005539 235560404 290674052 291451431 353340606 388601908 436011078 530010909 582902862 654016617 706681212 872022156 874354293 1060021818 1165805724 1308033234 1380701747 1748708586 2120043636 2616066468 2761403494 3497417172 4142105241 5522806988 8284210482 12426315723 16568420964 24852631446 33936195571 49705262892 67872391142 101808586713 135744782284 203617173426 305425760139 407234346852 610851520278 644787715849 1221703040556 1289575431698 1934363147547 2579150863396 3868726295094 5803089442641 7737452590188 11606178885282 23212357770564