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5145949760 = 26573177247
BaseRepresentation
bin1001100101011100…
…01111011001000000
3111021122000022222212
410302232033121000
541014330343020
62210343321252
7241343564660
oct46256173100
914248008885
105145949760
112200833246
12bb7450228
136401700b3
1436b6141a0
15201b85cc5
hex132b8f640

5145949760 has 112 divisors (see below), whose sum is σ = 14050450944. Its totient is φ = 1758517248.

The previous prime is 5145949741. The next prime is 5145949763. The reversal of 5145949760 is 679495415.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5145949699 and 5145949708.

It is not an unprimeable number, because it can be changed into a prime (5145949763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706457 + ... + 713703.

Almost surely, 25145949760 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 5145949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025225472).

5145949760 is an abundant number, since it is smaller than the sum of its proper divisors (8904501184).

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

5145949760 is a wasteful number, since it uses less digits than its factorization.

5145949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The square root of 5145949760 is about 71735.2755623062. The cubic root of 5145949760 is about 1726.4546726874.

The spelling of 5145949760 in words is "five billion, one hundred forty-five million, nine hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 317 320 448 560 634 1120 1268 1585 2219 2240 2536 3170 4438 5072 6340 7247 8876 10144 11095 12680 14494 17752 20288 22190 25360 28988 35504 36235 44380 50720 50729 57976 71008 72470 88760 101440 101458 115952 142016 144940 177520 202916 231904 253645 289880 355040 405832 463808 507290 579760 710080 811664 1014580 1159520 1623328 2029160 2297299 2319040 3246656 4058320 4594598 8116640 9189196 11486495 16081093 16233280 18378392 22972990 32162186 36756784 45945980 64324372 73513568 80405465 91891960 128648744 147027136 160810930 183783920 257297488 321621860 367567840 514594976 643243720 735135680 1029189952 1286487440 2572974880 5145949760