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21790153840 = 2457132993153
BaseRepresentation
bin10100010010110010…
…110101110001110000
32002020121000111122211
4110102302311301300
5324111234410330
614002114341504
71400660152210
oct242262656160
962217014584
1021790153840
119271a79104
12428158a894
13209352b170
1410a9d58240
15877ecbd2a
hex512cb5c70

21790153840 has 80 divisors (see below), whose sum is σ = 62353384128. Its totient is φ = 6896222208.

The previous prime is 21790153823. The next prime is 21790153841. The reversal of 21790153840 is 4835109712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21790153793 and 21790153802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21790153841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489297 + ... + 1503856.

Almost surely, 221790153840 is an apocalyptic number.

21790153840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21790153840 is an abundant number, since it is smaller than the sum of its proper divisors (40563230288).

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

21790153840 is a wasteful number, since it uses less digits than its factorization.

21790153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993186 (or 2993180 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 21790153840 in words is "twenty-one billion, seven hundred ninety million, one hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 2993153 5986306 11972612 14965765 20952071 23945224 29931530 38910989 41904142 47890448 59863060 77821978 83808284 104760355 119726120 155643956 167616568 194554945 209520710 239452240 272376923 311287912 335233136 389109890 419041420 544753846 622575824 778219780 838082840 1089507692 1361884615 1556439560 1676165680 2179015384 2723769230 3112879120 4358030768 5447538460 10895076920 21790153840