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6342975972 = 2233239112803
BaseRepresentation
bin1011110100001001…
…00010000111100100
3121101001102120021000
411322010202013210
5100442300212342
62525223553300
7313120256214
oct57204420744
917331376230
106342975972
112765498803
1212902bb830
137a1162b28
144425ac244
15271cd544c
hex17a1221e4

6342975972 has 96 divisors (see below), whose sum is σ = 17184706560. Its totient is φ = 2019457440.

The previous prime is 6342975929. The next prime is 6342976007. The reversal of 6342975972 is 2795792436.

6342975972 is a `hidden beast` number, since 6 + 3 + 42 + 9 + 7 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261523 + ... + 2264325.

It is an arithmetic number, because the mean of its divisors is an integer number (179007360).

Almost surely, 26342975972 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 6342975972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592353280).

6342975972 is an abundant number, since it is smaller than the sum of its proper divisors (10841730588).

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

6342975972 is a wasteful number, since it uses less digits than its factorization.

6342975972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3742 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 6342975972 is about 79642.8023866564. The cubic root of 6342975972 is about 1851.1048644388.

The spelling of 6342975972 in words is "six billion, three hundred forty-two million, nine hundred seventy-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 911 1242 1822 2484 2733 2803 3644 5466 5606 8199 8409 10932 11212 16398 16818 20953 24597 25227 32796 33636 41906 49194 50454 62859 64469 75681 83812 98388 100908 125718 128938 151362 188577 193407 251436 257876 302724 377154 386814 565731 580221 754308 773628 1131462 1160442 1740663 2262924 2320884 2553533 3481326 5107066 6962652 7660599 10214132 15321198 22981797 30642396 45963594 58731259 68945391 91927188 117462518 137890782 176193777 234925036 275781564 352387554 528581331 704775108 1057162662 1585743993 2114325324 3171487986 6342975972