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54877226382 = 23411611673023
BaseRepresentation
bin110011000110111100…
…000000010110001110
312020122111011221110000
4303012330000112032
51344342032221012
641113225225130
73651623504436
oct630674002616
9166574157400
1054877226382
1121300844460
12a7763321a6
1352373430b4
1429283932c6
151662b48ddc
hexcc6f0058e

54877226382 has 160 divisors (see below), whose sum is σ = 137205218304. Its totient is φ = 16253524800.

The previous prime is 54877226377. The next prime is 54877226389. The reversal of 54877226382 is 28362277845.

54877226382 is a `hidden beast` number, since 5 + 487 + 7 + 22 + 63 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54877226389) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18151723 + ... + 18154745.

Almost surely, 254877226382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54877226382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68602609152).

54877226382 is an abundant number, since it is smaller than the sum of its proper divisors (82327991922).

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

54877226382 is a wasteful number, since it uses less digits than its factorization.

54877226382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3267 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 54877226382 in words is "fifty-four billion, eight hundred seventy-seven million, two hundred twenty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 167 183 198 297 334 366 501 549 594 671 891 1002 1098 1342 1503 1647 1782 1837 2013 3006 3023 3294 3674 4026 4509 4941 5511 6039 6046 9018 9069 9882 10187 11022 12078 13527 16533 18117 18138 20374 27054 27207 30561 33066 33253 36234 49599 54351 54414 61122 66506 81621 91683 99198 99759 108702 112057 148797 163242 183366 184403 199518 224114 244863 275049 297594 299277 336171 368806 489726 504841 550098 553209 598554 672342 825147 897831 1008513 1009682 1106418 1514523 1650294 1659627 1795662 2017026 2028433 2693493 3025539 3029046 3319254 4056866 4543569 4978881 5386986 5553251 6051078 6085299 9076617 9087138 9957762 11106502 12170598 13630707 14936643 16659753 18153234 18255897 27261414 29873286 30795301 33319506 36511794 40892121 49979259 54767691 61590602 81784242 92385903 99958518 109535382 149937777 164303073 184771806 277157709 299875554 328606146 338748311 449813331 554315418 677496622 831473127 899626662 1016244933 1662946254 2032489866 2494419381 3048734799 4988838762 6097469598 9146204397 18292408794 27438613191 54877226382