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54745566744 = 233113137180793
BaseRepresentation
bin110010111111000101…
…110000111000011000
312020022022102221101010
4302333011300320120
51344104331113434
641052203253520
73645434432211
oct627705607030
9166268387333
1054745566744
1121243499640
12a73a21a2a0
135215c9609b
142914ac0408
1516562dd9e9
hexcbf170e18

54745566744 has 128 divisors (see below), whose sum is σ = 158288762880. Its totient is φ = 15620428800.

The previous prime is 54745566721. The next prime is 54745566751. The reversal of 54745566744 is 44766554745.

54745566744 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212412 + ... + 393204.

It is an arithmetic number, because the mean of its divisors is an integer number (1236630960).

Almost surely, 254745566744 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 54745566744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79144381440).

54745566744 is an abundant number, since it is smaller than the sum of its proper divisors (103543196136).

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

54745566744 is a wasteful number, since it uses less digits than its factorization.

54745566744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180881 (or 180877 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 57.

The spelling of 54745566744 in words is "fifty-four billion, seven hundred forty-five million, five hundred sixty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 37 44 62 66 74 88 93 111 124 132 148 186 222 248 264 296 341 372 407 444 682 744 814 888 1023 1147 1221 1364 1628 2046 2294 2442 2728 3256 3441 4092 4588 4884 6882 8184 9176 9768 12617 13764 25234 27528 37851 50468 75702 100936 151404 180793 302808 361586 542379 723172 1084758 1446344 1988723 2169516 3977446 4339032 5604583 5966169 6689341 7954892 11209166 11932338 13378682 15909784 16813749 20068023 22418332 23864676 26757364 33627498 40136046 44836664 47729352 53514728 61650413 67254996 73582751 80272092 123300826 134509992 147165502 160544184 184951239 207369571 220748253 246601652 294331004 369902478 414739142 441496506 493203304 588662008 622108713 739804956 829478284 882993012 1244217426 1479609912 1658956568 1765986024 2281065281 2488434852 4562130562 4976869704 6843195843 9124261124 13686391686 18248522248 27372783372 54745566744