Search a number
-
+
11772073305472 = 271777211124517
BaseRepresentation
bin1010101101001110011000…
…1111110110010110000000
31112200101210000210100100111
42223103212033312112000
53020333201231233342
641012003230001104
72323334644043014
oct253234617662600
945611700710314
1011772073305472
113829565535777
1213a160b646194
1367514270abbc
142c9ab2990544
15156342db5217
hexab4e63f6580

11772073305472 has 64 divisors (see below), whose sum is σ = 23477448234240. Its totient is φ = 5879697776640.

The previous prime is 11772073305463. The next prime is 11772073305479. The reversal of 11772073305472 is 27450337027711.

11772073305472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772073305479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480147358 + ... + 480171874.

It is an arithmetic number, because the mean of its divisors is an integer number (366835128660).

Almost surely, 211772073305472 is an apocalyptic number.

It is an amenable number.

11772073305472 is a deficient number, since it is larger than the sum of its proper divisors (11705374928768).

11772073305472 is a wasteful number, since it uses less digits than its factorization.

11772073305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28419 (or 28407 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 49.

The spelling of 11772073305472 in words is "eleven trillion, seven hundred seventy-two billion, seventy-three million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 1777 2111 3554 4222 7108 8444 14216 16888 24517 28432 33776 49034 56864 67552 98068 113728 135104 196136 227456 270208 392272 784544 1569088 3138176 3751247 7502494 15004988 30009976 43566709 51755387 60019952 87133418 103510774 120039904 174266836 207021548 240079808 348533672 414043096 480159616 697067344 828086192 1394134688 1656172384 2788269376 3312344768 5576538752 6624689536 91969322699 183938645398 367877290796 735754581592 1471509163184 2943018326368 5886036652736 11772073305472