Search a number
-
+
6070223013372 = 22327283271131397
BaseRepresentation
bin101100001010101010101…
…1111001000010111111100
3210111022022021112020121100
41120111111133020113330
51243423304042411442
620524342201533100
71164362533164450
oct130252537102774
923438267466540
106070223013372
111a304047057a1
128205494a4190
1335055ba5b60b
1416db2c298660
15a7d78e4b84c
hex585557c85fc

6070223013372 has 144 divisors (see below), whose sum is σ = 17605217290752. Its totient is φ = 1727528480640.

The previous prime is 6070223013341. The next prime is 6070223013461. The reversal of 6070223013372 is 2733103220706.

6070223013372 is a `hidden beast` number, since 60 + 7 + 0 + 223 + 0 + 1 + 3 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 193321978 + ... + 193353374.

It is an arithmetic number, because the mean of its divisors is an integer number (122258453408).

Almost surely, 26070223013372 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 6070223013372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802608645376).

6070223013372 is an abundant number, since it is smaller than the sum of its proper divisors (11534994277380).

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

6070223013372 is a wasteful number, since it uses less digits than its factorization.

6070223013372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34408 (or 34403 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 6070223013372 in words is "six trillion, seventy billion, two hundred twenty-three million, thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1698 1981 2547 2711 3396 3962 5094 5422 5943 7924 8133 10188 10844 11886 16266 17829 18977 23772 24399 31397 32532 35658 37954 48798 56931 62794 71316 75908 94191 97596 113862 125588 170793 188382 219779 227724 282573 341586 376764 439558 565146 659337 683172 767213 879116 1130292 1318674 1534426 1978011 2301639 2637348 3068852 3956022 4603278 5370491 6904917 7912044 8885351 9206556 10740982 13809834 16111473 17770702 21481964 26656053 27619668 32222946 35541404 48334419 53312106 62197457 64445892 79968159 85117267 96668838 106624212 124394914 159936318 170234534 186592371 193337676 248789828 255351801 319872636 340469068 373184742 510703602 559777113 595820869 746369484 766055403 1021407204 1119554226 1191641738 1532110806 1787462607 2239108452 2383283476 3064221612 3574925214 5362387821 7149850428 10724775642 21449551284 24088186561 48176373122 72264559683 96352746244 144529119366 168617305927 216793679049 289058238732 337234611854 433587358098 505851917781 674469223708 867174716196 1011703835562 1517555753343 2023407671124 3035111506686 6070223013372