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54220953780 = 223257109339371
BaseRepresentation
bin110010011111110100…
…100001100010110100
312011221202021211200100
4302133310201202310
51342021031010110
640524143114100
73626434334310
oct623764414264
9164852254610
1054220953780
1120aa4351104
12a6125a2930
1351613a4006
1428a515cb40
151625212bc0
hexc9fd218b4

54220953780 has 144 divisors (see below), whose sum is σ = 188142724224. Its totient is φ = 12381707520.

The previous prime is 54220953757. The next prime is 54220953791. The reversal of 54220953780 is 8735902245.

54220953780 is a `hidden beast` number, since 54 + 220 + 9 + 5 + 378 + 0 = 666.

54220953780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357495 + ... + 1396865.

It is an arithmetic number, because the mean of its divisors is an integer number (1306546696).

Almost surely, 254220953780 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 54220953780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94071362112).

54220953780 is an abundant number, since it is smaller than the sum of its proper divisors (133921770444).

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

54220953780 is a wasteful number, since it uses less digits than its factorization.

54220953780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40486 (or 40481 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 54220953780 in words is "fifty-four billion, two hundred twenty million, nine hundred fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1093 1260 2186 3279 4372 5465 6558 7651 9837 10930 13116 15302 16395 19674 21860 22953 30604 32790 38255 39348 39371 45906 49185 65580 68859 76510 78742 91812 98370 114765 118113 137718 153020 157484 196740 196855 229530 236226 275436 275597 344295 354339 393710 459060 472452 551194 590565 688590 708678 787420 826791 1102388 1181130 1377180 1377985 1417356 1653582 1771695 2362260 2480373 2755970 3307164 3543390 4133955 4960746 5511940 7086780 8267910 9921492 12401865 16535820 24803730 43032503 49607460 86065006 129097509 172130012 215162515 258195018 301227521 387292527 430325030 516390036 602455042 645487545 774585054 860650060 903682563 1204910084 1290975090 1506137605 1549170108 1807365126 1936462635 2581950180 2711047689 3012275210 3614730252 3872925270 4518412815 5422095378 6024550420 7745850540 9036825630 10844190756 13555238445 18073651260 27110476890 54220953780