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648306329972 = 227219197883699
BaseRepresentation
bin10010110111100100001…
…00011000100101110100
32021222101120201212121112
421123302010120211310
541110212410024342
61213454450334152
764560430611200
oct11336204304564
92258346655545
10648306329972
1122aa44027254
12a579058a358
134919a858c02
1423541a99b00
1511ce5bae682
hex96f2118974

648306329972 has 72 divisors (see below), whose sum is σ = 1396281348000. Its totient is φ = 261885669696.

The previous prime is 648306329971. The next prime is 648306329977. The reversal of 648306329972 is 279923603846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648306329971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291779 + ... + 1175477.

It is an arithmetic number, because the mean of its divisors is an integer number (19392796500).

Almost surely, 2648306329972 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 648306329972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698140674000).

648306329972 is an abundant number, since it is smaller than the sum of its proper divisors (747975018028).

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

648306329972 is a wasteful number, since it uses less digits than its factorization.

648306329972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883933 (or 883924 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 59.

The spelling of 648306329972 in words is "six hundred forty-eight billion, three hundred six million, three hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 197 266 394 532 788 931 1379 1862 2758 3724 3743 5516 7486 9653 14972 19306 26201 38612 52402 104804 183407 366814 733628 883699 1767398 3534796 6185893 12371786 16790281 24743572 33580562 43301251 67161124 86602502 117531967 173205004 174088703 235063934 348177406 470127868 696354812 822723769 1218620921 1645447538 2437241842 3290895076 3307685357 4874483684 6615370714 8530346447 13230741428 17060692894 23153797499 34121385788 46307594998 92615189996 162076582493 324153164986 648306329972