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55794646544 = 24731317179257
BaseRepresentation
bin110011111101100111…
…101011111000010000
312100000102110201022112
4303331213223320100
51403231412142134
641344240524452
74013433446000
oct637547537020
9170012421275
1055794646544
112173169483a
12a991620728
135352428870
1429b4166000
1516b84671ce
hexcfd9ebe10

55794646544 has 320 divisors, whose sum is σ = 145115712000. Its totient is φ = 20577779712.

The previous prime is 55794646529. The next prime is 55794646547. The reversal of 55794646544 is 44564649755.

It is a super-3 number, since 3×557946465443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (55794646547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217099664 + ... + 217099920.

It is an arithmetic number, because the mean of its divisors is an integer number (453486600).

Almost surely, 255794646544 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 55794646544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72557856000).

55794646544 is an abundant number, since it is smaller than the sum of its proper divisors (89321065456).

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

55794646544 is a wasteful number, since it uses less digits than its factorization.

55794646544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 59.

The spelling of 55794646544 in words is "fifty-five billion, seven hundred ninety-four million, six hundred forty-six thousand, five hundred forty-four".