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54554011272 = 2335241116443
BaseRepresentation
bin110010110011101011…
…000010011010001000
312012210221222220200000
4302303223002122020
51343211311330042
641021201443000
73640620305355
oct626353023210
9165727886600
1054554011272
1121155354132
12a6a6040460
1351b53a7657
1428d749962c
1516445a174c
hexcb3ac2688

54554011272 has 96 divisors (see below), whose sum is σ = 153859786080. Its totient is φ = 18109059840.

The previous prime is 54554011261. The next prime is 54554011277. The reversal of 54554011272 is 27211045545.

54554011272 is a `hidden beast` number, since 5 + 45 + 540 + 1 + 1 + 2 + 72 = 666.

It is a super-2 number, since 2×545540112722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54554011277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410283 + ... + 526725.

It is an arithmetic number, because the mean of its divisors is an integer number (1602706105).

Almost surely, 254554011272 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 54554011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76929893040).

54554011272 is an abundant number, since it is smaller than the sum of its proper divisors (99305774808).

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

54554011272 is a wasteful number, since it uses less digits than its factorization.

54554011272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116705 (or 116689 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 54554011272 in words is "fifty-four billion, five hundred fifty-four million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 243 324 482 486 648 723 964 972 1446 1928 1944 2169 2892 4338 5784 6507 8676 13014 17352 19521 26028 39042 52056 58563 78084 116443 117126 156168 232886 234252 349329 465772 468504 698658 931544 1047987 1397316 2095974 2794632 3143961 4191948 6287922 8383896 9431883 12575844 18863766 25151688 28062763 28295649 37727532 56125526 56591298 75455064 84188289 112251052 113182596 168376578 224502104 226365192 252564867 336753156 505129734 673506312 757694601 1010259468 1515389202 2020518936 2273083803 3030778404 4546167606 6061556808 6819251409 9092335212 13638502818 18184670424 27277005636 54554011272