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6038322972 = 22311317918679
BaseRepresentation
bin1011001111110100…
…10111111100011100
3120120211011120220120
411213322113330130
544331302313342
62435102114540
7302430620103
oct54772277434
916524146816
106038322972
112619526470
12120627ba50
13752cc6196
14413d4703a
152551a7aec
hex167e97f1c

6038322972 has 96 divisors (see below), whose sum is σ = 16067788800. Its totient is φ = 1748260800.

The previous prime is 6038322971. The next prime is 6038322977. The reversal of 6038322972 is 2792238306.

It is a super-2 number, since 2×60383229722 = 72922688628365825568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6038322971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313929 + ... + 332607.

It is an arithmetic number, because the mean of its divisors is an integer number (167372800).

Almost surely, 26038322972 is an apocalyptic number.

6038322972 is a gapful number since it is divisible by the number (62) 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 6038322972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033894400).

6038322972 is an abundant number, since it is smaller than the sum of its proper divisors (10029465828).

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

6038322972 is a wasteful number, since it uses less digits than its factorization.

6038322972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18807 (or 18805 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6038322972 is about 77706.6468971606. The cubic root of 6038322972 is about 1820.9811330294.

The spelling of 6038322972 in words is "six billion, thirty-eight million, three hundred twenty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 79 93 124 132 158 186 237 316 341 372 474 682 869 948 1023 1364 1738 2046 2449 2607 3476 4092 4898 5214 7347 9796 10428 14694 18679 26939 29388 37358 53878 56037 74716 80817 107756 112074 161634 205469 224148 323268 410938 579049 616407 821876 1158098 1232814 1475641 1737147 2316196 2465628 2951282 3474294 4426923 5902564 6369539 6948588 8853846 12739078 16232051 17707692 19108617 25478156 32464102 38217234 45744871 48696153 64928204 76434468 91489742 97392306 137234613 182979484 194784612 274469226 503193581 548938452 1006387162 1509580743 2012774324 3019161486 6038322972