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8413648452 = 223211533111289
BaseRepresentation
bin1111101010111111…
…00001011001000100
3210201100202121220100
413311133201121010
5114212343222302
63510513404100
7415332555216
oct76537413104
923640677810
108413648452
113628315680
121769869630
13a41152b11
1459b5c25b6
153439a7d1c
hex1f57e1644

8413648452 has 144 divisors (see below), whose sum is σ = 23733440640. Its totient is φ = 2491507200.

The previous prime is 8413648433. The next prime is 8413648531. The reversal of 8413648452 is 2548463148.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8413648398 and 8413648407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6526624 + ... + 6527912.

It is an arithmetic number, because the mean of its divisors is an integer number (164815560).

Almost surely, 28413648452 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 8413648452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866720320).

8413648452 is an abundant number, since it is smaller than the sum of its proper divisors (15319792188).

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

8413648452 is a wasteful number, since it uses less digits than its factorization.

8413648452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1669 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8413648452 is about 91725.9420883754. The cubic root of 8413648452 is about 2033.8930890573.

The spelling of 8413648452 in words is "eight billion, four hundred thirteen million, six hundred forty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 311 318 396 477 583 622 636 933 954 1166 1244 1289 1749 1866 1908 2332 2578 2799 3421 3498 3732 3867 5156 5247 5598 6842 6996 7734 10263 10494 11196 11601 13684 14179 15468 16483 20526 20988 23202 28358 30789 32966 41052 42537 46404 49449 56716 61578 65932 68317 85074 98898 123156 127611 136634 148347 170148 181313 197796 204951 255222 273268 296694 362626 400879 409902 510444 543939 593388 614853 725252 751487 801758 819804 1087878 1202637 1229706 1502974 1603516 1631817 2175756 2254461 2405274 2459412 3005948 3263634 3607911 4409669 4508922 4810548 6527268 6763383 7215822 8819338 9017844 13229007 13526766 14431644 17638676 21246587 26458014 27053532 39687021 42493174 52916028 63739761 79374042 84986348 127479522 158748084 191219283 233712457 254959044 382438566 467424914 701137371 764877132 934849828 1402274742 2103412113 2804549484 4206824226 8413648452