Search a number
-
+
21459049740 = 22345131101117
BaseRepresentation
bin10011111111000011…
…110001110100001100
32001101111222200020000
4103333003301310030
5322422004042430
613505205524300
71356526625142
oct237703616414
961344880200
1021459049740
11911208a757
1241aa713690
13203ca5c98b
141077da9592
15858dc6e60
hex4ff0f1d0c

21459049740 has 120 divisors (see below), whose sum is σ = 67832381232. Its totient is φ = 5678674560.

The previous prime is 21459049721. The next prime is 21459049747. The reversal of 21459049740 is 4794095412.

21459049740 is a `hidden beast` number, since 2 + 14 + 590 + 4 + 9 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21459049747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161662 + ... + 262778.

Almost surely, 221459049740 is an apocalyptic number.

21459049740 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 21459049740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33916190616).

21459049740 is an abundant number, since it is smaller than the sum of its proper divisors (46373331492).

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

21459049740 is a wasteful number, since it uses less digits than its factorization.

21459049740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101269 (or 101258 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21459049740 in words is "twenty-one billion, four hundred fifty-nine million, forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1965 2358 2620 3537 3930 4716 5895 7074 7860 10611 11790 14148 17685 21222 23580 35370 42444 53055 70740 101117 106110 202234 212220 303351 404468 505585 606702 910053 1011170 1213404 1516755 1820106 2022340 2730159 3033510 3640212 4550265 5460318 6067020 8190477 9100530 10920636 13246327 13650795 16380954 18201060 26492654 27301590 32761908 39738981 40952385 52985308 54603180 66231635 79477962 81904770 119216943 132463270 158955924 163809540 198694905 238433886 264926540 357650829 397389810 476867772 596084715 715301658 794779620 1072952487 1192169430 1430603316 1788254145 2145904974 2384338860 3576508290 4291809948 5364762435 7153016580 10729524870 21459049740