Search a number
-
+
1220520550544 = 242947431129853
BaseRepresentation
bin10001110000101100101…
…100011010000010010000
311022200101011202002022222
4101300230230122002100
5124444111230104134
62332411023120212
7154115431335011
oct21605454320220
94280334662288
101220520550544
11430690039479
12178665a43068
138b12ca915c9
14431059d5008
1521b364cda2e
hex11c2cb1a090

1220520550544 has 80 divisors (see below), whose sum is σ = 2504166865920. Its totient is φ = 575337853440.

The previous prime is 1220520550531. The next prime is 1220520550567. The reversal of 1220520550544 is 4450550250221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9334322 + ... + 9464174.

It is an arithmetic number, because the mean of its divisors is an integer number (31302085824).

Almost surely, 21220520550544 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 1220520550544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252083432960).

1220520550544 is an abundant number, since it is smaller than the sum of its proper divisors (1283646315376).

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

1220520550544 is a wasteful number, since it uses less digits than its factorization.

1220520550544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130368 (or 130362 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 1220520550544 in words is "one trillion, two hundred twenty billion, five hundred twenty million, five hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 431 464 752 862 1363 1724 2726 3448 5452 6896 10904 12499 20257 21808 24998 40514 49996 81028 99992 129853 162056 199984 259706 324112 519412 587453 1038824 1174906 2077648 2349812 3765737 4699624 6103091 7531474 9399248 12206182 15062948 24412364 30125896 48824728 55966643 60251792 97649456 111933286 176989639 223866572 353979278 447733144 707958556 895466288 1415917112 1623032647 2630432221 2831834224 3246065294 5260864442 6492130588 10521728884 12984261176 21043457768 25968522352 42086915536 76282534409 152565068818 305130137636 610260275272 1220520550544