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20950246564 = 221321922932
BaseRepresentation
bin10011100000101110…
…110110010010100100
32000002001120210110221
4103200232312102210
5320401230342224
613342512254124
71341111105022
oct234056662244
960061523427
1020950246564
118980960365
124088241344
131c8b514a00
14102a5a1712
158293c06e4
hex4e0bb64a4

20950246564 has 81 divisors (see below), whose sum is σ = 42043038723. Its totient is φ = 9129167424.

The previous prime is 20950246553. The next prime is 20950246589. The reversal of 20950246564 is 46564205902.

The square root of 20950246564 is 144742.

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

It can be written as a sum of positive squares in 4 ways, for example, as 535552164 + 20414694400 = 23142^2 + 142880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20950246564.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71502402 + ... + 71502694.

Almost surely, 220950246564 is an apocalyptic number.

20950246564 is the 144742-nd square number.

It is an amenable number.

20950246564 is an abundant number, since it is smaller than the sum of its proper divisors (21092792159).

20950246564 is a wasteful number, since it uses less digits than its factorization.

20950246564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 20950246564 in words is "twenty billion, nine hundred fifty million, two hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 293 338 361 494 586 676 722 988 1172 1444 3211 3809 4693 5567 6422 7618 9386 11134 12844 15236 18772 22268 49517 61009 72371 85849 99034 105773 122018 144742 171698 198068 211546 244036 289484 343396 423092 940823 1116037 1375049 1631131 1881646 2232074 2750098 3262262 3763292 4464148 5500196 6524524 14508481 17875637 21204703 29016962 30991489 35751274 42409406 58033924 61982978 71502548 84818812 123965956 275661139 402889357 551322278 805778714 1102644556 1611557428 5237561641 10475123282 20950246564