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210240478587412 = 2272132925711070973
BaseRepresentation
bin101111110011011001101101…
…000010110010101000010100
31000120101210102102202021220101
4233303121231002302220110
5210024040000004244122
62023051050441143444
762166242023152400
oct5763315502625024
91016353372667811
10210240478587412
1160a97539228399
121b6b601aa8ab84
1390407909b4830
1439cb99cbc2100
151948c85e77027
hexbf366d0b2a14

210240478587412 has 144 divisors (see below), whose sum is σ = 478660646313360. Its totient is φ = 79991581114368.

The previous prime is 210240478587397. The next prime is 210240478587421. The reversal of 210240478587412 is 214785874042012.

It is a happy number.

210240478587412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4826343247236 + 205414135340176 = 2196894^2 + 14332276^2 .

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, 13454758 + ... + 24525730.

It is an arithmetic number, because the mean of its divisors is an integer number (3324032266065).

Almost surely, 2210240478587412 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 210240478587412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239330323156680).

210240478587412 is an abundant number, since it is smaller than the sum of its proper divisors (268420167725948).

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

210240478587412 is a wasteful number, since it uses less digits than its factorization.

210240478587412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071290 (or 11071281 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 55.

The spelling of 210240478587412 in words is "two hundred ten trillion, two hundred forty billion, four hundred seventy-eight million, five hundred eighty-seven thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 257 364 377 406 514 637 754 812 1028 1274 1421 1508 1799 2548 2639 2842 3341 3598 5278 5684 6682 7196 7453 10556 12593 13364 14906 18473 23387 25186 29812 36946 46774 50372 52171 73892 93548 96889 104342 163709 193778 208684 327418 365197 387556 654836 678223 730394 1356446 1460788 2712892 4747561 9495122 11070973 18990244 22141946 44283892 77496811 143922649 154993622 287845298 309987244 321058217 542477677 575690596 642116434 1007458543 1084955354 1284232868 2014917086 2169910708 2247407519 2845240061 4029834172 4173756821 4494815038 5690480122 7052209801 8347513642 8989630076 11380960244 14104419602 15731852633 16695027284 19916680427 28208839204 29216297747 31463705266 36988120793 39833360854 58432595494 62927410532 73976241586 79666721708 82511961769 116865190988 139416762989 147952483172 165023923538 204514084229 258916845551 278833525978 330047847076 409028168458 517833691102 557667051956 577583732383 818056336916 1035667382204 1072655502997 1155167464766 1812417918857 2145311005994 2310334929532 3624835837714 4043086126681 4290622011988 7249671675428 7508588520979 8086172253362 15017177041958 16172344506724 30034354083916 52560119646853 105120239293706 210240478587412