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4480686912 = 263137872281
BaseRepresentation
bin1000010110001000…
…11101101101000000
3102120021012110221010
410023010131231000
533134023440122
62020340400520
7216015132102
oct41304355500
912507173833
104480686912
11199a25a439
12a506a6140
135653a3c40
1430711d572
151b3575e0c
hex10b11db40

4480686912 has 112 divisors (see below), whose sum is σ = 12788912192. Its totient is φ = 1376317440.

The previous prime is 4480686907. The next prime is 4480686919. The reversal of 4480686912 is 2196860844.

It is a super-3 number, since 3×44806869123 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480686919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963212 + ... + 1965492.

It is an arithmetic number, because the mean of its divisors is an integer number (114186716).

Almost surely, 24480686912 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 4480686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394456096).

4480686912 is an abundant number, since it is smaller than the sum of its proper divisors (8308225280).

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

4480686912 is a wasteful number, since it uses less digits than its factorization.

4480686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4480686912 is about 66937.9332815109. The cubic root of 4480686912 is about 1648.5983703892.

The spelling of 4480686912 in words is "four billion, four hundred eighty million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 787 832 1248 1574 2281 2361 2496 3148 4562 4722 6296 6843 9124 9444 10231 12592 13686 18248 18888 20462 25184 27372 29653 30693 36496 37776 40924 50368 54744 59306 61386 72992 75552 81848 88959 109488 118612 122772 145984 151104 163696 177918 218976 237224 245544 327392 355836 437952 474448 491088 654784 711672 948896 982176 1423344 1795147 1897792 1964352 2846688 3590294 5385441 5693376 7180588 10770882 14361176 21541764 23336911 28722352 43083528 46673822 57444704 70010733 86167056 93347644 114889408 140021466 172334112 186695288 280042932 344668224 373390576 560085864 746781152 1120171728 1493562304 2240343456 4480686912