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5216424624 = 243510712539
BaseRepresentation
bin1001101101110110…
…00101001010110000
3111110112121211100000
410312323011022300
541140401041444
62221342030000
7243160610025
oct46673051260
914415554300
105216424624
112237599034
121016b78300
13651946ab8
14376b1b54c
15207e57469
hex136ec52b0

5216424624 has 120 divisors (see below), whose sum is σ = 15282146880. Its totient is φ = 1722420288.

The previous prime is 5216424607. The next prime is 5216424659. The reversal of 5216424624 is 4264246125.

5216424624 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 4 + 24 + 624 = 666.

It is a super-2 number, since 2×52164246242 = 54422171715747082752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409747 + ... + 422285.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 25216424624 is an apocalyptic number.

5216424624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5216424624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

5216424624 is an abundant number, since it is smaller than the sum of its proper divisors (10065722256).

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

5216424624 is a wasteful number, since it uses less digits than its factorization.

5216424624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669 (or 12651 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 5216424624 is about 72224.8199997757. The cubic root of 5216424624 is about 1734.3003514635.

The spelling of 5216424624 in words is "five billion, two hundred sixteen million, four hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 243 321 324 428 432 486 642 648 856 963 972 1284 1296 1712 1926 1944 2568 2889 3852 3888 5136 5778 7704 8667 11556 12539 15408 17334 23112 25078 26001 34668 37617 46224 50156 52002 69336 75234 100312 104004 112851 138672 150468 200624 208008 225702 300936 338553 416016 451404 601872 677106 902808 1015659 1341673 1354212 1805616 2031318 2683346 2708424 3046977 4025019 4062636 5366692 5416848 6093954 8050038 8125272 10733384 12075057 12187908 16100076 16250544 21466768 24150114 24375816 32200152 36225171 48300228 48751632 64400304 72450342 96600456 108675513 144900684 193200912 217351026 289801368 326026539 434702052 579602736 652053078 869404104 1304106156 1738808208 2608212312 5216424624