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54720672576 = 2632923342179
BaseRepresentation
bin110010111101100110…
…110011001101000000
312020020120121011222220
4302331212303031000
51344031443010301
641045513531040
73645013020363
oct627546631500
9166216534886
1054720672576
1121230436249
12a731a13a80
135210a8b0cb
1429116800da
151654022936
hexcbd9b3340

54720672576 has 112 divisors (see below), whose sum is σ = 150420628800. Its totient is φ = 17535250432.

The previous prime is 54720672569. The next prime is 54720672577. The reversal of 54720672576 is 67527602745.

It is a happy number.

54720672576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54720672577) 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, 1276255 + ... + 1318433.

Almost surely, 254720672576 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 54720672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75210314400).

54720672576 is an abundant number, since it is smaller than the sum of its proper divisors (95699956224).

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

54720672576 is a wasteful number, since it uses less digits than its factorization.

54720672576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42456 (or 42446 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 54720672576 in words is "fifty-four billion, seven hundred twenty million, six hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 233 348 464 466 696 699 928 932 1392 1398 1856 1864 2784 2796 3728 5568 5592 6757 7456 11184 13514 14912 20271 22368 27028 40542 42179 44736 54056 81084 84358 108112 126537 162168 168716 216224 253074 324336 337432 432448 506148 648672 674864 1012296 1223191 1297344 1349728 2024592 2446382 2699456 3669573 4049184 4892764 7339146 8098368 9785528 9827707 14678292 19571056 19655414 29356584 29483121 39142112 39310828 58713168 58966242 78284224 78621656 117426336 117932484 157243312 234852672 235864968 285003503 314486624 471729936 570007006 628973248 855010509 943459872 1140014012 1710021018 1886919744 2280028024 3420042036 4560056048 6840084072 9120112096 13680168144 18240224192 27360336288 54720672576