Search a number
-
+
55563262176 = 2533154134511
BaseRepresentation
bin110011101111110101…
…000001100011100000
312022102022002011122010
4303233311001203200
51402243143342201
641305253312520
74004623636002
oct635765014340
9168368064563
1055563262176
1121623016294
12a928035740
135316503436
142991534372
1516a2eadbd6
hexcefd418e0

55563262176 has 96 divisors (see below), whose sum is σ = 150841184256. Its totient is φ = 17889984000.

The previous prime is 55563262171. The next prime is 55563262187. The reversal of 55563262176 is 67126236555.

55563262176 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 (96).

It is a super-2 number, since 2×555632621762 (a number of 22 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 (55563262171) 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, 1592761 + ... + 1627271.

It is an arithmetic number, because the mean of its divisors is an integer number (1571262336).

Almost surely, 255563262176 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 55563262176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75420592128).

55563262176 is an abundant number, since it is smaller than the sum of its proper divisors (95277922080).

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

55563262176 is a wasteful number, since it uses less digits than its factorization.

55563262176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35096 (or 35088 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 48.

The spelling of 55563262176 in words is "fifty-five billion, five hundred sixty-three million, two hundred sixty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 541 744 992 1082 1488 1623 2164 2976 3246 4328 6492 8656 12984 16771 17312 25968 33542 34511 50313 51936 67084 69022 100626 103533 134168 138044 201252 207066 268336 276088 402504 414132 536672 552176 805008 828264 1069841 1104352 1610016 1656528 2139682 3209523 3313056 4279364 6419046 8558728 12838092 17117456 18670451 25676184 34234912 37340902 51352368 56011353 74681804 102704736 112022706 149363608 224045412 298727216 448090824 578783981 597454432 896181648 1157567962 1736351943 1792363296 2315135924 3472703886 4630271848 6945407772 9260543696 13890815544 18521087392 27781631088 55563262176