Search a number
-
+
213378726576 = 24341931873329
BaseRepresentation
bin1100011010111001011…
…1001111101010110000
3202101202201201102011010
43012232113033222300
511443444423222301
6242005210350520
721262503151521
oct3065627175260
9671681642133
10213378726576
1182547801524
123543012b440
1317176cc4532
14a482c74848
15583cc865d6
hex31ae5cfab0

213378726576 has 80 divisors (see below), whose sum is σ = 552883363200. Its totient is φ = 70912917504.

The previous prime is 213378726569. The next prime is 213378726593. The reversal of 213378726576 is 675627873312.

It is a super-3 number, since 3×2133787265763 (a number of 35 digits) contains 333 as substring.

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, 64095280 + ... + 64098608.

It is an arithmetic number, because the mean of its divisors is an integer number (6911042040).

Almost surely, 2213378726576 is an apocalyptic number.

It is an amenable number.

213378726576 is an abundant number, since it is smaller than the sum of its proper divisors (339504636624).

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

213378726576 is a wasteful number, since it uses less digits than its factorization.

213378726576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6940 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 213378726576 in words is "two hundred thirteen billion, three hundred seventy-eight million, seven hundred twenty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 419 838 1257 1676 2514 3187 3329 3352 5028 6374 6658 6704 9561 9987 10056 12748 13316 19122 19974 20112 25496 26632 38244 39948 50992 53264 76488 79896 152976 159792 1335353 1394851 2670706 2789702 4006059 4184553 5341412 5579404 8012118 8369106 10609523 10682824 11158808 16024236 16738212 21219046 21365648 22317616 31828569 32048472 33476424 42438092 63657138 64096944 66952848 84876184 127314276 169752368 254628552 509257104 4445390137 8890780274 13336170411 17781560548 26672340822 35563121096 53344681644 71126242192 106689363288 213378726576