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21982806756 = 223482372
BaseRepresentation
bin10100011110010001…
…110000001011100100
32002202000112021210000
4110132101300023210
5330010044304011
614033155501300
71405516526421
oct243621601344
962660467700
1021982806756
1193607a3099
124315bb7830
1320c4412281
1410c7786d48
15889d84356
hex51e4702e4

21982806756 has 45 divisors (see below), whose sum is σ = 57474376729. Its totient is φ = 7326712656.

The previous prime is 21982806737. The next prime is 21982806793. The reversal of 21982806756 is 65760828912.

The square root of 21982806756 is 148266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13921640100 + 8061166656 = 117990^2 + 89784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2664670 + ... + 2672906.

Almost surely, 221982806756 is an apocalyptic number.

21982806756 is the 148266-th square number.

It is an amenable number.

21982806756 is an abundant number, since it is smaller than the sum of its proper divisors (35491569973).

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

21982806756 is an frugal number, since it uses more digits than its factorization.

21982806756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16490 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 21982806756 in words is "twenty-one billion, nine hundred eighty-two million, eight hundred six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8237 16474 24711 32948 49422 74133 98844 148266 222399 296532 444798 667197 889596 1334394 2668788 67848169 135696338 203544507 271392676 407089014 610633521 814178028 1221267042 1831900563 2442534084 3663801126 5495701689 7327602252 10991403378 21982806756