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5214117524 = 22711291374261
BaseRepresentation
bin1001101101100100…
…10001111010010100
3111110101021121120212
410312302101322110
541134303230044
62221220344552
7243132160550
oct46662217224
914411247525
105214117524
112236262740
121016245158
13651319955
143766ba860
15207b4da9e
hex136c91e94

5214117524 has 96 divisors (see below), whose sum is σ = 11857224960. Its totient is φ = 1946649600.

The previous prime is 5214117523. The next prime is 5214117527. The reversal of 5214117524 is 4257114125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214117523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221554 + ... + 1225814.

It is an arithmetic number, because the mean of its divisors is an integer number (123512760).

Almost surely, 25214117524 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 5214117524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928612480).

5214117524 is an abundant number, since it is smaller than the sum of its proper divisors (6643107436).

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

5214117524 is a wasteful number, since it uses less digits than its factorization.

5214117524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4447 counting only the distinct ones).

The product of its digits is 11200, while the sum is 32.

The square root of 5214117524 is about 72208.8465771335. The cubic root of 5214117524 is about 1734.0446338885.

The spelling of 5214117524 in words is "five billion, two hundred fourteen million, one hundred seventeen thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 137 154 203 274 308 319 406 548 638 812 959 1276 1507 1918 2233 3014 3836 3973 4261 4466 6028 7946 8522 8932 10549 15892 17044 21098 27811 29827 42196 43703 46871 55622 59654 87406 93742 111244 119308 123569 174812 187484 247138 305921 328097 494276 583757 611842 656194 864983 1167514 1223684 1312388 1359259 1729966 2335028 2718518 3459932 4086299 5437036 6421327 8172598 9514813 12842654 16345196 16928953 19029626 25685308 33857906 38059252 44949289 67715812 89898578 118502671 179797156 186218483 237005342 372436966 474010684 744873932 1303529381 2607058762 5214117524