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52429842816 = 2731312782699
BaseRepresentation
bin110000110101000011…
…111110100110000000
312000022220222222100020
4300311003332212000
51324334014432231
640030321253440
73534155211411
oct606503764600
9160286888306
1052429842816
1120265308a0a
12a1b2794280
134c372a6c40
14277531b808
15156cd63396
hexc350fe980

52429842816 has 128 divisors (see below), whose sum is σ = 151162368000. Its totient is φ = 16005040128.

The previous prime is 52429842811. The next prime is 52429842827. The reversal of 52429842816 is 61824892425.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52429842811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592635 + ... + 675333.

It is an arithmetic number, because the mean of its divisors is an integer number (1180956000).

Almost surely, 252429842816 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 52429842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75581184000).

52429842816 is an abundant number, since it is smaller than the sum of its proper divisors (98732525184).

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

52429842816 is a wasteful number, since it uses less digits than its factorization.

52429842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82856 (or 82844 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 52429842816 in words is "fifty-two billion, four hundred twenty-nine million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 312 381 384 416 508 624 762 832 1016 1248 1524 1651 1664 2032 2496 3048 3302 4064 4953 4992 6096 6604 8128 9906 12192 13208 16256 19812 24384 26416 39624 48768 52832 79248 82699 105664 158496 165398 211328 248097 316992 330796 496194 633984 661592 992388 1075087 1323184 1984776 2150174 2646368 3225261 3969552 4300348 5292736 6450522 7939104 8600696 10502773 10585472 12901044 15878208 17201392 21005546 25802088 31508319 31756416 34402784 42011092 51604176 63016638 68805568 84022184 103208352 126033276 136536049 137611136 168044368 206416704 252066552 273072098 336088736 409608147 412833408 504133104 546144196 672177472 819216294 1008266208 1092288392 1344354944 1638432588 2016532416 2184576784 3276865176 4033064832 4369153568 6553730352 8738307136 13107460704 17476614272 26214921408 52429842816