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5071824960 = 26356778853
BaseRepresentation
bin1001011100100110…
…11110100001000000
3111002110112101212220
410232103132201000
540341341344320
62155134451040
7236453541456
oct45623364100
914073471786
105071824960
112172a05184
12b96663a80
1362a9b8c77
1436183a9d6
151ea3e2e40
hex12e4de840

5071824960 has 112 divisors (see below), whose sum is σ = 16343595456. Its totient is φ = 1332283392.

The previous prime is 5071824959. The next prime is 5071824971. The reversal of 5071824960 is 694281705.

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, 24894 + ... + 103746.

Almost surely, 25071824960 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 5071824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171797728).

5071824960 is an abundant number, since it is smaller than the sum of its proper divisors (11271770496).

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

5071824960 is a wasteful number, since it uses less digits than its factorization.

5071824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78940 (or 78930 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5071824960 is about 71216.7463452242. The cubic root of 5071824960 is about 1718.1249803482.

The spelling of 5071824960 in words is "five billion, seventy-one million, eight hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 64320 78853 157706 236559 315412 394265 473118 630824 788530 946236 1182795 1261648 1577060 1892472 2365590 2523296 3154120 3784944 4731180 5046592 5283151 6308240 7569888 9462360 10566302 12616480 15139776 15849453 18924720 21132604 25232960 26415755 31698906 37849440 42265208 52831510 63397812 75698880 79247265 84530416 105663020 126795624 158494530 169060832 211326040 253591248 316989060 338121664 422652080 507182496 633978120 845304160 1014364992 1267956240 1690608320 2535912480 5071824960