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54051312440 = 2352986353993
BaseRepresentation
bin110010010101101101…
…011001001100111000
312011111221002011111202
4302111231121030320
51341144113444230
640455243113332
73622304401166
oct622555311470
9164457064452
1054051312440
1120a17614054
12a585812848
1351351b9018
14288a800236
1516153a3a45
hexc95b59338

54051312440 has 64 divisors (see below), whose sum is σ = 125957203200. Its totient is φ = 20850414592.

The previous prime is 54051312431. The next prime is 54051312451. The reversal of 54051312440 is 4421315045.

54051312440 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 (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974084 + ... + 1028076.

It is an arithmetic number, because the mean of its divisors is an integer number (1968081300).

Almost surely, 254051312440 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 54051312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62978601600).

54051312440 is an abundant number, since it is smaller than the sum of its proper divisors (71905890760).

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

54051312440 is a wasteful number, since it uses less digits than its factorization.

54051312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54896 (or 54892 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 54051312440 its reverse (4421315045), we get a palindrome (58472627485).

The spelling of 54051312440 in words is "fifty-four billion, fifty-one million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 863 1160 1726 3452 4315 6904 8630 17260 25027 34520 50054 53993 100108 107986 125135 200216 215972 250270 269965 431944 500540 539930 1001080 1079860 1565797 2159720 3131594 6263188 7828985 12526376 15657970 31315940 46595959 62631880 93191918 186383836 232979795 372767672 465959590 931919180 1351282811 1863838360 2702565622 5405131244 6756414055 10810262488 13512828110 27025656220 54051312440