Search a number
-
+
54954693088 = 254161838273
BaseRepresentation
bin110011001011100011…
…100001000111100000
312020211212221122210021
4303023203201013200
51400021400134323
641125033443224
73653554120051
oct631343410740
9166755848707
1054954693088
1121340545329
12a798270514
13524a3c7399
14293479a728
15166984c05d
hexccb8e11e0

54954693088 has 96 divisors (see below), whose sum is σ = 114018764832. Its totient is φ = 26046873600.

The previous prime is 54954693071. The next prime is 54954693121. The reversal of 54954693088 is 88039645945.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

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, 6638520 + ... + 6646792.

It is an arithmetic number, because the mean of its divisors is an integer number (1187695467).

Almost surely, 254954693088 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 54954693088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57009382416).

54954693088 is an abundant number, since it is smaller than the sum of its proper divisors (59064071744).

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

54954693088 is a wasteful number, since it uses less digits than its factorization.

54954693088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 54954693088 in words is "fifty-four billion, nine hundred fifty-four million, six hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 41 61 82 83 122 164 166 244 328 332 488 656 664 976 1312 1328 1952 2501 2656 3403 5002 5063 6806 8273 10004 10126 13612 16546 20008 20252 27224 33092 40016 40504 54448 66184 80032 81008 108896 132368 162016 207583 264736 339193 415166 504653 678386 686659 830332 1009306 1356772 1373318 1660664 2018612 2713544 2746636 3321328 4037224 5427088 5493272 6642656 8074448 10854176 10986544 16148896 20690773 21973088 28153019 41381546 41886199 56306038 82763092 83772398 112612076 165526184 167544796 225224152 331052368 335089592 450448304 662104736 670179184 900896608 1340358368 1717334159 3434668318 6869336636 13738673272 27477346544 54954693088