Search a number
-
+
70090660248 = 233713117471823
BaseRepresentation
bin100000101000110111…
…0101001100110011000
320200220201221110100120
41001101232221212120
52122021202111443
652111010033240
75030624532150
oct1012156514630
9220821843316
1070090660248
11277a83944a4
1211701278820
1367c016ac7b
14356ca95760
151c5356d083
hex1051ba9998

70090660248 has 128 divisors (see below), whose sum is σ = 202013982720. Its totient is φ = 19850762880.

The previous prime is 70090660229. The next prime is 70090660267. The reversal of 70090660248 is 84206609007.

It is an interprime number because it is at equal distance from previous prime (70090660229) and next prime (70090660267).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38447065 + ... + 38448887.

It is an arithmetic number, because the mean of its divisors is an integer number (1578234240).

Almost surely, 270090660248 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 70090660248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101006991360).

70090660248 is an abundant number, since it is smaller than the sum of its proper divisors (131923322472).

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

70090660248 is a wasteful number, since it uses less digits than its factorization.

70090660248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 70090660248 in words is "seventy billion, ninety million, six hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1747 1823 1834 2751 3144 3494 3646 3668 5241 5469 5502 6988 7292 7336 10482 10938 11004 12229 12761 13976 14584 20964 21876 22008 24458 25522 36687 38283 41928 43752 48916 51044 73374 76566 97832 102088 146748 153132 228857 238813 293496 306264 457714 477626 686571 716439 915428 955252 1373142 1432878 1601999 1671691 1830856 1910504 2746284 2865756 3184781 3203998 3343382 4805997 5015073 5492568 5731512 6369562 6407996 6686764 9554343 9611994 10030146 12739124 12815992 13373528 19108686 19223988 20060292 22293467 25478248 38217372 38447976 40120584 44586934 66880401 76434744 89173868 133760802 178347736 267521604 417206311 535043208 834412622 1251618933 1668825244 2503237866 2920444177 3337650488 5006475732 5840888354 8761332531 10012951464 11681776708 17522665062 23363553416 35045330124 70090660248