Search a number
-
+
69053751540 = 223253613106181
BaseRepresentation
bin100000001001111101…
…1001010000011110100
320121020110211001000100
41000103323022003310
52112410230022130
651420045314100
74663134126534
oct1002373120364
9217213731010
1069053751540
1127316051654
1211471b65930
1366863aa317
1434b109b4c4
151be24eac60
hex1013eca0f4

69053751540 has 72 divisors (see below), whose sum is σ = 209522994408. Its totient is φ = 18409063680.

The previous prime is 69053751499. The next prime is 69053751581. The reversal of 69053751540 is 4515735096.

69053751540 is a `hidden beast` number, since 6 + 9 + 0 + 53 + 7 + 51 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (69053751499) and next prime (69053751581).

It can be written as a sum of positive squares in 4 ways, for example, as 8697054564 + 60356696976 = 93258^2 + 245676^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597250 + ... + 703430.

It is an arithmetic number, because the mean of its divisors is an integer number (2910041589).

Almost surely, 269053751540 is an apocalyptic number.

69053751540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69053751540 is an abundant number, since it is smaller than the sum of its proper divisors (140469242868).

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

69053751540 is a wasteful number, since it uses less digits than its factorization.

69053751540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109809 (or 109804 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 69053751540 in words is "sixty-nine billion, fifty-three million, seven hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3613 7226 10839 14452 18065 21678 32517 36130 43356 54195 65034 72260 106181 108390 130068 162585 212362 216780 318543 325170 424724 530905 637086 650340 955629 1061810 1274172 1592715 1911258 2123620 3185430 3822516 4778145 6370860 9556290 19112580 383631953 767263906 1150895859 1534527812 1918159765 2301791718 3452687577 3836319530 4603583436 5754479295 6905375154 7672639060 11508958590 13810750308 17263437885 23017917180 34526875770 69053751540