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5078523994960 = 2451321481253633
BaseRepresentation
bin100100111100110111110…
…0111100110001101010000
3122222111120001212101010211
41021321233213212031100
51131201304120314320
614445013002133504
71032624362464063
oct111715747461520
918874501771124
105078523994960
111688876442169
126a03034b1294
132aab97488700
14137b324a68da
158c18633555a
hex49e6f9e6350

5078523994960 has 120 divisors (see below), whose sum is σ = 12794393644344. Its totient is φ = 1873873797120.

The previous prime is 5078523994919. The next prime is 5078523994967. The reversal of 5078523994960 is 694993258705.

It can be written as a sum of positive squares in 12 ways, for example, as 3485748744256 + 1592775250704 = 1867016^2 + 1262052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5078523994967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19896304 + ... + 20149936.

Almost surely, 25078523994960 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 5078523994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397196822172).

5078523994960 is an abundant number, since it is smaller than the sum of its proper divisors (7715869649384).

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

5078523994960 is a wasteful number, since it uses less digits than its factorization.

5078523994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255153 (or 255134 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 67.

The spelling of 5078523994960 in words is "five trillion, seventy-eight billion, five hundred twenty-three million, nine hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1481 1690 2704 2962 3380 5924 6760 7405 11848 13520 14810 19253 23696 29620 38506 59240 77012 96265 118480 154024 192530 250289 253633 308048 385060 500578 507266 770120 1001156 1014532 1251445 1268165 1540240 2002312 2029064 2502890 2536330 3297229 4004624 4058128 5005780 5072660 6594458 10011560 10145320 13188916 16486145 20023120 20290640 26377832 32972290 42863977 52755664 65944580 85727954 131889160 171455908 214319885 263778320 342911816 375630473 428639770 685823632 751260946 857279540 1502521892 1714559080 1878152365 3005043784 3429118160 3756304730 4883196149 6010087568 7512609460 9766392298 15025218920 19532784596 24415980745 30050437840 39065569192 48831961490 63481549937 78131138384 97663922980 126963099874 195327845960 253926199748 317407749685 390655691920 507852399496 634815499370 1015704798992 1269630998740 2539261997480 5078523994960