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5230468672 = 261113751761
BaseRepresentation
bin1001101111100001…
…01001111001000000
3111111112001100010221
410313300221321000
541202444444142
62223003032424
7243421151542
oct46760517100
914445040127
105230468672
112244510590
12101b80b714
136548232a0
14378935692
152092cd767
hex137c29e40

5230468672 has 112 divisors (see below), whose sum is σ = 12226040064. Its totient is φ = 2188800000.

The previous prime is 5230468651. The next prime is 5230468673. The reversal of 5230468672 is 2768640325.

It is not an unprimeable number, because it can be changed into a prime (5230468673) 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, 6872772 + ... + 6873532.

It is an arithmetic number, because the mean of its divisors is an integer number (109161072).

Almost surely, 25230468672 is an apocalyptic number.

5230468672 is a gapful number since it is divisible by the number (52) 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 5230468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113020032).

5230468672 is an abundant number, since it is smaller than the sum of its proper divisors (6995571392).

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

5230468672 is a wasteful number, since it uses less digits than its factorization.

5230468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 5230468672 is about 72321.9791764578. The cubic root of 5230468672 is about 1735.8553611080.

The spelling of 5230468672 in words is "five billion, two hundred thirty million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 751 761 832 1144 1502 1522 2288 3004 3044 4576 6008 6088 8261 8371 9152 9763 9893 12016 12176 16522 16742 19526 19786 24032 24352 33044 33484 39052 39572 48064 48704 66088 66968 78104 79144 107393 108823 132176 133936 156208 158288 214786 217646 264352 267872 312416 316576 429572 435292 528704 535744 571511 624832 633152 859144 870584 1143022 1718288 1741168 2286044 3436576 3482336 4572088 6286621 6873152 6964672 7429643 9144176 12573242 14859286 18288352 25146484 29718572 36576704 50292968 59437144 81726073 100585936 118874288 163452146 201171872 237748576 326904292 402343744 475497152 653808584 1307617168 2615234336 5230468672