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10412060670 = 23251123457271
BaseRepresentation
bin10011011001001101…
…10110111111111110
3222212122010111002200
421230212312333332
5132310441420140
64441102332330
7516010025004
oct115446667776
928778114080
1010412060670
114463378320
122026b8a0a6
13c9c19255b
1470ab86a74
1540e155030
hex26c9b6ffe

10412060670 has 96 divisors (see below), whose sum is σ = 30816474624. Its totient is φ = 2414385600.

The previous prime is 10412060663. The next prime is 10412060713. The reversal of 10412060670 is 7606021401.

10412060670 is a `hidden beast` number, since 10 + 41 + 2 + 0 + 606 + 7 + 0 = 666.

It is a super-2 number, since 2×104120606702 (a number of 21 digits) contains 22 as substring.

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, 205866 + ... + 251405.

It is an arithmetic number, because the mean of its divisors is an integer number (321004944).

Almost surely, 210412060670 is an apocalyptic number.

10412060670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10412060670 is an abundant number, since it is smaller than the sum of its proper divisors (20404413954).

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

10412060670 is a wasteful number, since it uses less digits than its factorization.

10412060670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457318 (or 457315 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10412060670 in words is "ten billion, four hundred twelve million, sixty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 457271 914542 1371813 2286355 2743626 4115439 4572710 5029981 6859065 8230878 10059962 10517233 13718130 15089943 20577195 21034466 25149905 30179886 31551699 41154390 45269829 50299810 52586165 63103398 75449715 90539658 94655097 105172330 115689563 150899430 157758495 189310194 226349145 231379126 315516990 347068689 452698290 473275485 578447815 694137378 946550970 1041206067 1156895630 1735343445 2082412134 3470686890 5206030335 10412060670