Search a number
-
+
5112020635616 = 251919746192581
BaseRepresentation
bin100101001100011110000…
…1011001000111111100000
3200002201000111201000202102
41022120330023020333200
51132223404240314431
614512232503305532
71035221431311416
oct112307413107740
920081014630672
105112020635616
1116a0aa5419064
126a68b144b2a8
132b10a50b203b
141395cd0772b6
158ce96e05dcb
hex4a63c2c8fe0

5112020635616 has 96 divisors (see below), whose sum is σ = 10670979100320. Its totient is φ = 2403939686400.

The previous prime is 5112020635591. The next prime is 5112020635633. The reversal of 5112020635616 is 6165360202115.

It is a super-2 number, since 2×51120206356162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 5112020635616.

It is a congruent number.

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, 55170446 + ... + 55263026.

It is an arithmetic number, because the mean of its divisors is an integer number (111156032295).

Almost surely, 25112020635616 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 5112020635616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335489550160).

5112020635616 is an abundant number, since it is smaller than the sum of its proper divisors (5558958464704).

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

5112020635616 is a wasteful number, since it uses less digits than its factorization.

5112020635616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93268 (or 93260 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 5112020635616 in words is "five trillion, one hundred twelve billion, twenty million, six hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 197 304 394 461 608 788 922 1576 1844 3152 3688 3743 6304 7376 7486 8759 14752 14972 17518 29944 35036 59888 70072 90817 92581 119776 140144 181634 185162 280288 363268 370324 726536 740648 1453072 1481296 1725523 1759039 2906144 2962592 3451046 3518078 6902092 7036156 13804184 14072312 18238457 27608368 28144624 36476914 42679841 55216736 56289248 72953828 85359682 145907656 170719364 291815312 341438728 346530683 583630624 682877456 693061366 810916979 1365754912 1386122732 1621833958 2772245464 3243667916 5544490928 6487335832 8407928677 11088981856 12974671664 16815857354 25949343328 33631714708 67263429416 134526858832 159750644863 269053717664 319501289726 639002579452 1278005158904 2556010317808 5112020635616