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54362306040 = 23357163397037
BaseRepresentation
bin110010101000001111…
…101111010111111000
312012022121021021112020
4302220033233113320
51342313222243130
640550152514440
73633101656110
oct625017572770
9165277237466
1054362306040
1121067117159
12a6519aba20
1351847659c3
1428b9c36040
151632834e10
hexca83ef5f8

54362306040 has 128 divisors (see below), whose sum is σ = 187528988160. Its totient is φ = 12349407744.

The previous prime is 54362305999. The next prime is 54362306041. The reversal of 54362306040 is 4060326345.

It is a junction number, because it is equal to n+sod(n) for n = 54362305992 and 54362306010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54362306041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61599 + ... + 335438.

It is an arithmetic number, because the mean of its divisors is an integer number (1465070220).

Almost surely, 254362306040 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 54362306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93764494080).

54362306040 is an abundant number, since it is smaller than the sum of its proper divisors (133166682120).

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

54362306040 is a wasteful number, since it uses less digits than its factorization.

54362306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397221 (or 397217 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 54362306040 in words is "fifty-four billion, three hundred sixty-two million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 815 840 978 1141 1304 1630 1956 2282 2445 3260 3423 3912 4564 4890 5705 6520 6846 9128 9780 11410 13692 17115 19560 22820 27384 34230 45640 68460 136920 397037 794074 1191111 1588148 1985185 2382222 2779259 3176296 3970370 4764444 5558518 5955555 7940740 8337777 9528888 11117036 11911110 13896295 15881480 16675554 22234072 23822220 27792590 33351108 41688885 47644440 55585180 64717031 66702216 83377770 111170360 129434062 166755540 194151093 258868124 323585155 333511080 388302186 453019217 517736248 647170310 776604372 906038434 970755465 1294340620 1359057651 1553208744 1812076868 1941510930 2265096085 2588681240 2718115302 3624153736 3883021860 4530192170 5436230604 6795288255 7766043720 9060384340 10872461208 13590576510 18120768680 27181153020 54362306040