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51388424352 = 253439475023
BaseRepresentation
bin101111110110111111…
…010010000010100000
311220122100101102210000
4233312333102002200
51320220414034402
635335120140000
73466311254106
oct576677220240
9156570342700
1051388424352
111a8804758a1
129b61a67600
134acc5c76b5
1426b6cabc76
15150b6eec1c
hexbf6fd20a0

51388424352 has 120 divisors (see below), whose sum is σ = 151200314496. Its totient is φ = 17121725568.

The previous prime is 51388424303. The next prime is 51388424359. The reversal of 51388424352 is 25342488315.

51388424352 is a `hidden beast` number, since 5 + 138 + 84 + 2 + 435 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51388424298 and 51388424307.

It is not an unprimeable number, because it can be changed into a prime (51388424359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10228113 + ... + 10233135.

Almost surely, 251388424352 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 51388424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600157248).

51388424352 is an abundant number, since it is smaller than the sum of its proper divisors (99811890144).

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

51388424352 is a wasteful number, since it uses less digits than its factorization.

51388424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8975 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 51388424352 in words is "fifty-one billion, three hundred eighty-eight million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3947 5023 7894 10046 11841 15069 15788 20092 23682 30138 31576 35523 40184 45207 47364 60276 63152 71046 80368 90414 94728 106569 120552 126304 135621 142092 160736 180828 189456 213138 241104 271242 284184 319707 361656 378912 406863 426276 482208 542484 568368 639414 723312 813726 852552 1084968 1136736 1278828 1446624 1627452 1705104 2169936 2557656 3254904 3410208 4339872 5115312 6509808 10230624 13019616 19825781 39651562 59477343 79303124 118954686 158606248 178432029 237909372 317212496 356864058 475818744 535296087 634424992 713728116 951637488 1070592174 1427456232 1605888261 1903274976 2141184348 2854912464 3211776522 4282368696 5709824928 6423553044 8564737392 12847106088 17129474784 25694212176 51388424352