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54251206416 = 24321146373973
BaseRepresentation
bin110010100001100111…
…111011011100010000
312012000212012211111100
4302201213323130100
51342101302101131
640531143344400
73630252434361
oct624147733420
9165025184440
1054251206416
112100a434390
12a620752100
135167736c94
1428a9195b68
151627bdb7e6
hexca19fb710

54251206416 has 120 divisors (see below), whose sum is σ = 165990554496. Its totient is φ = 16404030720.

The previous prime is 54251206397. The next prime is 54251206423. The reversal of 54251206416 is 61460215245.

54251206416 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 2 + 0 + 641 + 6 = 666.

54251206416 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696406 + ... + 770378.

Almost surely, 254251206416 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 54251206416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82995277248).

54251206416 is an abundant number, since it is smaller than the sum of its proper divisors (111739348080).

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

54251206416 is a wasteful number, since it uses less digits than its factorization.

54251206416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74461 (or 74452 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54251206416 in words is "fifty-four billion, two hundred fifty-one million, two hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 463 528 792 926 1389 1584 1852 2778 3704 4167 5093 5556 7408 8334 10186 11112 15279 16668 20372 22224 30558 33336 40744 45837 61116 66672 73973 81488 91674 122232 147946 183348 221919 244464 295892 366696 443838 591784 665757 733392 813703 887676 1183568 1331514 1627406 1775352 2441109 2663028 3254812 3550704 4882218 5326056 6509624 7323327 9764436 10652112 13019248 14646654 19528872 29293308 34249499 39057744 58586616 68498998 102748497 117173232 136997996 205496994 273995992 308245491 376744489 410993988 547991984 616490982 753488978 821987976 1130233467 1232981964 1506977956 1643975952 2260466934 2465963928 3013955912 3390700401 4520933868 4931927856 6027911824 6781400802 9041867736 13562801604 18083735472 27125603208 54251206416