Search a number
-
+
5045970090 = 2357173738201
BaseRepresentation
bin1001011001100001…
…10110010010101010
3111000122212211200010
410230300312102222
540313232020330
62152412352350
7236021016030
oct45460662252
914018784603
105045970090
11215a356017
12b89a756b6
13625535925
1435c22a550
151e7ed73b0
hex12cc364aa

5045970090 has 128 divisors (see below), whose sum is σ = 15050976768. Its totient is φ = 1056153600.

The previous prime is 5045970067. The next prime is 5045970091. The reversal of 5045970090 is 900795405.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5045970091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112990 + ... + 151190.

It is an arithmetic number, because the mean of its divisors is an integer number (117585756).

Almost surely, 25045970090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5045970090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525488384).

5045970090 is an abundant number, since it is smaller than the sum of its proper divisors (10005006678).

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

5045970090 is a wasteful number, since it uses less digits than its factorization.

5045970090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38272.

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 5045970090 is about 71034.9920109801. The cubic root of 5045970090 is about 1715.2004842873.

The spelling of 5045970090 in words is "five billion, forty-five million, nine hundred seventy thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 37 42 51 70 74 85 102 105 111 119 170 185 210 222 238 255 259 357 370 510 518 555 595 629 714 777 1110 1190 1258 1295 1554 1785 1887 2590 3145 3570 3774 3885 4403 6290 7770 8806 9435 13209 18870 22015 26418 38201 44030 66045 76402 114603 132090 191005 229206 267407 382010 534814 573015 649417 802221 1146030 1298834 1337035 1413437 1604442 1948251 2674070 2826874 3247085 3896502 4011105 4240311 4545919 6494170 7067185 8022210 8480622 9091838 9741255 9894059 13637757 14134370 19482510 19788118 21201555 22729595 24028429 27275514 29682177 42403110 45459190 48056858 49470295 59364354 68188785 72085287 98940590 120142145 136377570 144170574 148410885 168199003 240284290 296821770 336398006 360426435 504597009 720852870 840995015 1009194018 1681990030 2522985045 5045970090