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3217889937990 = 2357134547259229
BaseRepresentation
bin101110110100111001001…
…011111100101001000110
3102101121221021121222021110
4232310321023330221012
5410210214311003430
610502140033025450
7451325212112520
oct56647113745106
912347837558243
103217889937990
111030776a860a2
1243b7949b5286
131a45a4324cb0
14b1a64d54a10
1558a885807b0
hex2ed392fca46

3217889937990 has 128 divisors (see below), whose sum is σ = 9507278914560. Its totient is φ = 678787481088.

The previous prime is 3217889937989. The next prime is 3217889938001. The reversal of 3217889937990 is 997399887123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12283696 + ... + 12542924.

It is an arithmetic number, because the mean of its divisors is an integer number (74275616520).

Almost surely, 23217889937990 is an apocalyptic number.

3217889937990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3217889937990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753639457280).

3217889937990 is an abundant number, since it is smaller than the sum of its proper divisors (6289388976570).

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

3217889937990 is a wasteful number, since it uses less digits than its factorization.

3217889937990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263806.

The product of its (nonzero) digits is 370355328, while the sum is 75.

The spelling of 3217889937990 in words is "three trillion, two hundred seventeen billion, eight hundred eighty-nine million, nine hundred thirty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4547 9094 13641 22735 27282 31829 45470 59111 63658 68205 95487 118222 136410 159145 177333 190974 259229 295555 318290 354666 413777 477435 518458 591110 777687 827554 886665 954870 1241331 1296145 1555374 1773330 1814603 2068885 2482662 2592290 3369977 3629206 3888435 4137770 5443809 6206655 6739954 7776870 9073015 10109931 10887618 12413310 16849885 18146030 20219862 23589839 27219045 33699770 47179678 50549655 54438090 70769517 101099310 117949195 141539034 235898390 353847585 707695170 1178714263 2357428526 3536142789 5893571315 7072285578 8250999841 11787142630 15323285419 16501999682 17680713945 24752999523 30646570838 35361427890 41254999205 45969856257 49505999046 76616427095 82509998410 91939712514 107262997933 123764997615 153232854190 214525995866 229849281285 247529995230 321788993799 459698562570 536314989665 643577987598 1072629979330 1608944968995 3217889937990