Search a number
-
+
5215211406 = 2342331163277
BaseRepresentation
bin1001101101101100…
…11100111110001110
3111110110100012010000
410312312130332032
541140043231111
62221300025130
7243144364656
oct46666347616
914413305100
105215211406
11223693a579
1210166921a6
13651610812
143768c3366
15207cb7c56
hex136d9cf8e

5215211406 has 160 divisors (see below), whose sum is σ = 12710320128. Its totient is φ = 1593535680.

The previous prime is 5215211387. The next prime is 5215211413. The reversal of 5215211406 is 6041125125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5215211406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18827340 + ... + 18827616.

Almost surely, 25215211406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5215211406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355160064).

5215211406 is an abundant number, since it is smaller than the sum of its proper divisors (7495108722).

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

5215211406 is a wasteful number, since it uses less digits than its factorization.

5215211406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5215211406 is about 72216.4206119356. The cubic root of 5215211406 is about 1734.1658885126.

The spelling of 5215211406 in words is "five billion, two hundred fifteen million, two hundred eleven thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 163 186 207 277 279 326 414 489 554 558 621 713 831 837 978 1242 1426 1467 1662 1674 1863 2139 2493 2511 2934 3726 3749 4278 4401 4986 5022 5053 6371 6417 7479 7498 8587 8802 10106 11247 12742 12834 13203 14958 15159 17174 19113 19251 22437 22494 25761 26406 30318 33741 38226 38502 44874 45151 45477 51522 57339 57753 67482 77283 90302 90954 101223 114678 115506 116219 135453 136431 154566 172017 197501 202446 231849 232438 270906 272862 303669 344034 348657 395002 406359 409293 463698 516051 592503 607338 695547 697314 812718 818586 1032102 1038473 1045971 1185006 1219077 1391094 1399681 1777509 2076946 2091942 2438154 2799362 3115419 3137913 3555018 3657231 4199043 5332527 6230838 6275826 7314462 8398086 9346257 9413739 10665054 12597129 15997581 18692514 18827478 25194258 28038771 31995162 32192663 37791387 56077542 64385326 75582774 84116313 96577989 113374161 168232626 193155978 226748322 289733967 579467934 869201901 1738403802 2607605703 5215211406