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21235452672 = 283719720051
BaseRepresentation
bin10011110001101110…
…110100101100000000
32000210221020202201010
4103301232310230000
5321442233441142
613431101240520
71351143240510
oct236156645400
960727222633
1021235452672
11900794a995
124147863140
132005632c15
141056403840
1584445ae9c
hex4f1bb4b00

21235452672 has 144 divisors (see below), whose sum is σ = 64922280192. Its totient is φ = 6036172800.

The previous prime is 21235452659. The next prime is 21235452677. The reversal of 21235452672 is 27625453212.

It is a self number, because there is not a number n which added to its sum of digits gives 21235452672.

It is not an unprimeable number, because it can be changed into a prime (21235452677) 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, 1049047 + ... + 1069097.

It is an arithmetic number, because the mean of its divisors is an integer number (450849168).

Almost surely, 221235452672 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 21235452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32461140096).

21235452672 is an abundant number, since it is smaller than the sum of its proper divisors (43686827520).

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

21235452672 is a wasteful number, since it uses less digits than its factorization.

21235452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20274 (or 20260 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The spelling of 21235452672 in words is "twenty-one billion, two hundred thirty-five million, four hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 197 224 256 336 384 394 448 591 672 768 788 896 1182 1344 1379 1576 1792 2364 2688 2758 3152 4137 4728 5376 5516 6304 8274 9456 11032 12608 16548 18912 20051 22064 25216 33096 37824 40102 44128 50432 60153 66192 75648 80204 88256 120306 132384 140357 151296 160408 176512 240612 264768 280714 320816 353024 421071 481224 529536 561428 641632 842142 962448 1059072 1122856 1283264 1684284 1924896 2245712 2566528 3368568 3849792 3950047 4491424 5133056 6737136 7699584 7900094 8982848 11850141 13474272 15399168 15800188 17965696 23700282 26948544 27650329 31600376 35931392 47400564 53897088 55300658 63200752 82950987 94801128 107794176 110601316 126401504 165901974 189602256 221202632 252803008 331803948 379204512 442405264 505606016 663607896 758409024 884810528 1011212032 1327215792 1516818048 1769621056 2654431584 3033636096 3539242112 5308863168 7078484224 10617726336 21235452672