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21470071664040 = 23352919133225071
BaseRepresentation
bin1001110000110111000111…
…11111101010110110101000
32211000112000012122122120220
410320123203333222312220
510303231201321222130
6113355114215450040
74344106251005436
oct470334377526650
984015005578526
1021470071664040
11692845180467a
1224a9063686920
13bc98081372bc
1454322abb5d56
15273744a60410
hex1386e3feada8

21470071664040 has 128 divisors (see below), whose sum is σ = 66666108326400. Its totient is φ = 5525035120640.

The previous prime is 21470071664039. The next prime is 21470071664053. The reversal of 21470071664040 is 4046617007412.

It is a junction number, because it is equal to n+sod(n) for n = 21470071663983 and 21470071664001.

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, 5044705 + ... + 8269775.

It is an arithmetic number, because the mean of its divisors is an integer number (520828971300).

Almost surely, 221470071664040 is an apocalyptic number.

21470071664040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21470071664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33333054163200).

21470071664040 is an abundant number, since it is smaller than the sum of its proper divisors (45196036662360).

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

21470071664040 is a wasteful number, since it uses less digits than its factorization.

21470071664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227027 (or 3227023 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 21470071664040 in words is "twenty-one trillion, four hundred seventy billion, seventy-one million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 1913 3480 3826 5739 7652 9565 11478 15304 19130 22956 28695 38260 45912 55477 57390 76520 110954 114780 166431 221908 229560 277385 332862 443816 554770 665724 832155 1109540 1331448 1664310 2219080 3225071 3328620 6450142 6657240 9675213 12900284 16125355 19350426 25800568 32250710 38700852 48376065 64501420 77401704 93527059 96752130 129002840 187054118 193504260 280581177 374108236 387008520 467635295 561162354 748216472 935270590 1122324708 1402905885 1870541180 2244649416 2805811770 3741082360 5611623540 6169560823 11223247080 12339121646 18508682469 24678243292 30847804115 37017364938 49356486584 61695608230 74034729876 92543412345 123391216460 148069459752 178917263867 185086824690 246782432920 357834527734 370173649380 536751791601 715669055468 740347298760 894586319335 1073503583202 1431338110936 1789172638670 2147007166404 2683758958005 3578345277340 4294014332808 5367517916010 7156690554680 10735035832020 21470071664040