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5465626404 = 22372292511277
BaseRepresentation
bin1010001011100011…
…01101011100100100
3112002220112120220120
411011301231130210
542143200021104
62302203201540
7252305025600
oct50561553444
915086476816
105465626404
112355227017
1210865162b0
1369146a084
1439bc6a500
1521ec7ecd9
hex145c6d724

5465626404 has 144 divisors (see below), whose sum is σ = 15420041280. Its totient is φ = 1500576000.

The previous prime is 5465626357. The next prime is 5465626417. The reversal of 5465626404 is 4046265645.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4279414 + ... + 4280690.

It is an arithmetic number, because the mean of its divisors is an integer number (107083620).

Almost surely, 25465626404 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 5465626404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710020640).

5465626404 is an abundant number, since it is smaller than the sum of its proper divisors (9954414876).

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

5465626404 is a wasteful number, since it uses less digits than its factorization.

5465626404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 5465626404 is about 73929.8749085916. The cubic root of 5465626404 is about 1761.4891842503.

The spelling of 5465626404 in words is "five billion, four hundred sixty-five million, six hundred twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 251 294 348 406 502 588 609 753 812 1004 1218 1277 1421 1506 1757 2436 2554 2842 3012 3514 3831 4263 5108 5271 5684 7028 7279 7662 8526 8939 10542 12299 14558 15324 17052 17878 21084 21837 24598 26817 29116 35756 36897 37033 43674 49196 50953 53634 62573 73794 74066 87348 101906 107268 111099 125146 147588 148132 152859 187719 203812 222198 250292 259231 305718 320527 356671 375438 444396 518462 611436 641054 713342 750876 777693 961581 1036924 1070013 1282108 1426684 1555386 1814617 1923162 2140026 2243689 3110772 3629234 3846324 4280052 4487378 5443851 6731067 7258468 8974756 9295283 10887702 13462134 15705823 18590566 21775404 26924268 27885849 31411646 37181132 47117469 55771698 62823292 65066981 94234938 111543396 130133962 188469876 195200943 260267924 390401886 455468867 780803772 910937734 1366406601 1821875468 2732813202 5465626404