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4640626339648 = 261337571264007
BaseRepresentation
bin100001110000111101011…
…1000100110111101000000
3121102122021020011122101121
41003201322320212331000
51102013000320332043
613511512503442024
7656163022023055
oct103417270467500
917378236148347
104640626339648
11152a095651482
1262b474456314
132787bc4c6c70
1412087103302c
1580aa77d1ded
hex4387ae26f40

4640626339648 has 112 divisors (see below), whose sum is σ = 10203013684864. Its totient is φ = 2080282798080.

The previous prime is 4640626339627. The next prime is 4640626339693. The reversal of 4640626339648 is 8469336260464.

It is a super-3 number, since 3×46406263396483 (a number of 39 digits) contains 333 as substring.

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, 17445661 + ... + 17709667.

It is an arithmetic number, because the mean of its divisors is an integer number (91098336472).

Almost surely, 24640626339648 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 4640626339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101506842432).

4640626339648 is an abundant number, since it is smaller than the sum of its proper divisors (5562387345216).

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

4640626339648 is a wasteful number, since it uses less digits than its factorization.

4640626339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264640 (or 264630 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 61.

The spelling of 4640626339648 in words is "four trillion, six hundred forty billion, six hundred twenty-six million, three hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 571 592 832 962 1142 1184 1924 2284 2368 3848 4568 7423 7696 9136 14846 15392 18272 21127 29692 30784 36544 42254 59384 84508 118768 169016 237536 264007 274651 338032 475072 528014 549302 676064 1056028 1098604 1352128 2112056 2197208 3432091 4224112 4394416 6864182 8448224 8788832 9768259 13728364 16896448 17577664 19536518 27456728 39073036 54913456 78146072 109826912 126987367 150747997 156292144 219653824 253974734 301495994 312584288 507949468 602991988 625168576 1015898936 1205983976 1959723961 2031797872 2411967952 3919447922 4063595744 4823935904 5577675889 7838895844 8127191488 9647871808 11155351778 15677791688 22310703556 31355583376 44621407112 62711166752 72509786557 89242814224 125422333504 145019573114 178485628448 290039146228 356971256896 580078292456 1160156584912 2320313169824 4640626339648