Search a number
-
+
509247960040 = 23561321139829
BaseRepresentation
bin1110110100100011000…
…10110011001111101000
31210200110100212202111001
413122101202303033220
531320414434210130
61025540103044344
751535432145101
oct7322142631750
91720410782431
10509247960040
11186a75219786
12828421406b4
13390390a8091
141a90d5433a8
15d3a798e6ca
hex76918b33e8

509247960040 has 64 divisors (see below), whose sum is σ = 1148337061200. Its totient is φ = 203249958912.

The previous prime is 509247960037. The next prime is 509247960043. The reversal of 509247960040 is 40069742905.

It is an interprime number because it is at equal distance from previous prime (509247960037) and next prime (509247960043).

It can be written as a sum of positive squares in 8 ways, for example, as 22928622084 + 486319337956 = 151422^2 + 697366^2 .

It is not an unprimeable number, because it can be changed into a prime (509247960043) 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, 51805846 + ... + 51815674.

Almost surely, 2509247960040 is an apocalyptic number.

It is an amenable number.

509247960040 is an abundant number, since it is smaller than the sum of its proper divisors (639089101160).

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

509247960040 is a wasteful number, since it uses less digits than its factorization.

509247960040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 509247960040 in words is "five hundred nine billion, two hundred forty-seven million, nine hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 613 1226 2113 2452 3065 4226 4904 6130 8452 9829 10565 12260 16904 19658 21130 24520 39316 42260 49145 78632 84520 98290 196580 393160 1295269 2590538 5181076 6025177 6476345 10362152 12050354 12952690 20768677 24100708 25905380 30125885 41537354 48201416 51810760 60251770 83074708 103843385 120503540 166149416 207686770 241007080 415373540 830747080 12731199001 25462398002 50924796004 63655995005 101849592008 127311990010 254623980020 509247960040