Search a number
-
+
2317960197972 = 2232317166144257
BaseRepresentation
bin100001101110110001001…
…100011011011101010100
322012121001122001110121200
4201232301030123131110
5300434140302313342
64532504535312500
7326316133410546
oct41566114333524
98177048043550
102317960197972
11814050114701
123152a021b730
1313a776298b53
148029301b696
15404672d194c
hex21bb131b754

2317960197972 has 144 divisors (see below), whose sum is σ = 6142902764544. Its totient is φ = 736065792000.

The previous prime is 2317960197961. The next prime is 2317960197989. The reversal of 2317960197972 is 2797910697132.

2317960197972 is a `hidden beast` number, since 2 + 3 + 17 + 9 + 601 + 9 + 7 + 9 + 7 + 2 = 666.

2317960197972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52352868 + ... + 52397124.

It is an arithmetic number, because the mean of its divisors is an integer number (42659046976).

Almost surely, 22317960197972 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 2317960197972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071451382272).

2317960197972 is an abundant number, since it is smaller than the sum of its proper divisors (3824942566572).

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

2317960197972 is a wasteful number, since it uses less digits than its factorization.

2317960197972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45030 (or 45025 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 2317960197972 in words is "two trillion, three hundred seventeen billion, nine hundred sixty million, one hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 661 852 1116 1278 1322 1983 2201 2556 2644 3966 4402 5949 6603 7932 8804 11898 13206 19809 20491 23796 26412 39618 40982 44257 46931 61473 79236 81964 88514 93862 122946 132771 140793 177028 184419 187724 245892 265542 281586 368838 398313 422379 531084 563172 737676 796626 844758 1371967 1454861 1593252 1689516 2743934 2909722 3142247 4115901 4364583 5487868 5819444 6284494 8231802 8729166 9426741 12347703 12568988 13093749 16463604 17458332 18853482 24695406 26187498 28280223 29253877 37706964 49390812 52374996 56560446 58507754 87761631 97409657 113120892 117015508 175523262 194819314 263284893 292228971 351046524 389638628 526569786 584457942 876686913 906870187 1053139572 1168915884 1753373826 1813740374 2077025267 2720610561 3506747652 3627480748 4154050534 5441221122 6231075801 8161831683 8308101068 10882442244 12462151602 16323663366 18693227403 24924303204 32647326732 37386454806 64387783277 74772909612 128775566554 193163349831 257551133108 386326699662 579490049493 772653399324 1158980098986 2317960197972