Search a number
-
+
54121122616656 = 24354712491650349
BaseRepresentation
bin11000100111001000011100…
…10010011101010101010000
321002121221002002102102010010
430103210032102131111100
524043210024342213111
6311034522301234520
714254056604610424
oct1423441622352520
9232557062372103
1054121122616656
1116276703867337
1260a1052562a40
1324277a5174b84
14d51694dd8b84
1563cc34422aa6
hex31390e49d550

54121122616656 has 80 divisors (see below), whose sum is σ = 140180729000000. Its totient is φ = 17992965279744.

The previous prime is 54121122616651. The next prime is 54121122616657. The reversal of 54121122616656 is 65661622112145.

It is a happy number.

It is a super-2 number, since 2×541211226166562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54121122616651) 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, 31968570 + ... + 33618918.

It is an arithmetic number, because the mean of its divisors is an integer number (1752259112500).

Almost surely, 254121122616656 is an apocalyptic number.

It is an amenable number.

54121122616656 is an abundant number, since it is smaller than the sum of its proper divisors (86059606383344).

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

54121122616656 is a wasteful number, since it uses less digits than its factorization.

54121122616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652156 (or 1652150 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 54121122616656 in words is "fifty-four trillion, one hundred twenty-one billion, one hundred twenty-two million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 547 1094 1249 1641 2188 2498 3282 3747 4376 4996 6564 7494 8752 9992 13128 14988 19984 26256 29976 59952 683203 1366406 1650349 2049609 2732812 3300698 4099218 4951047 5465624 6601396 8198436 9902094 10931248 13202792 16396872 19804188 26405584 32793744 39608376 79216752 902740903 1805481806 2061285901 2708222709 3610963612 4122571802 5416445418 6183857703 7221927224 8245143604 10832890836 12367715406 14443854448 16490287208 21665781672 24735430812 32980574416 43331563344 49470861624 98941723248 1127523387847 2255046775694 3382570163541 4510093551388 6765140327082 9020187102776 13530280654164 18040374205552 27060561308328 54121122616656