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2152233274746 = 2317414379151499
BaseRepresentation
bin11111010100011011000…
…110011000110101111010
321121202021211121110212010
4133110123012120311322
5240230233204242441
64324420004230350
7311331226663302
oct37243306306572
97552254543763
102152233274746
1175a836636345
122a914a69b3b6
13127c546c5879
1476250aa0602
153aeb7b9d116
hex1f51b198d7a

2152233274746 has 128 divisors (see below), whose sum is σ = 4837916160000. Its totient is φ = 635273533440.

The previous prime is 2152233274717. The next prime is 2152233274753. The reversal of 2152233274746 is 6474723322512.

It is a happy number.

It is a super-2 number, since 2×21522332747462 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2152233274695 and 2152233274704.

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, 14130505 + ... + 14282003.

It is an arithmetic number, because the mean of its divisors is an integer number (37796220000).

Almost surely, 22152233274746 is an apocalyptic number.

2152233274746 is an abundant number, since it is smaller than the sum of its proper divisors (2685682885254).

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

2152233274746 is a wasteful number, since it uses less digits than its factorization.

2152233274746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151684.

The product of its digits is 3386880, while the sum is 48.

The spelling of 2152233274746 in words is "two trillion, one hundred fifty-two billion, two hundred thirty-three million, two hundred seventy-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 17 34 41 43 51 79 82 86 102 123 129 158 237 246 258 474 697 731 1343 1394 1462 1763 2091 2193 2686 3239 3397 3526 4029 4182 4386 5289 6478 6794 8058 9717 10191 10578 19434 20382 29971 55063 57749 59942 89913 110126 115498 139277 151499 165189 173247 179826 278554 302998 330378 346494 417831 454497 835662 908994 2367709 2575483 4735418 5150966 6211459 6514457 7103127 7726449 11968421 12422918 13028914 14206254 15452898 18634377 19543371 23936842 35905263 37268754 39086742 71810526 105594803 110745769 203463157 211189606 221491538 267092737 316784409 332237307 406926314 490705261 514642103 534185474 610389471 633568818 664474614 801278211 981410522 1029284206 1220778942 1472115783 1543926309 1602556422 2944231566 3087852618 4540576529 8341989437 8748915751 9081153058 13621729587 16683978874 17497831502 21100326223 25025968311 26246747253 27243459174 42200652446 50051936622 52493494506 63300978669 126601957338 358705545791 717411091582 1076116637373 2152233274746