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103452465640 = 2359433274177
BaseRepresentation
bin110000001011000111…
…1110101100111101000
3100220000210001202202111
41200112033311213220
53143332312400030
6115305253212104
710321435306666
oct1402617654750
9326023052674
10103452465640
113a968246697
1218072031034
1399a8b75014
1450157a7c36
152a573a762a
hex18163f59e8

103452465640 has 32 divisors (see below), whose sum is σ = 232793572680. Its totient is φ = 41376448512.

The previous prime is 103452465637. The next prime is 103452465643. The reversal of 103452465640 is 46564254301.

It is an interprime number because it is at equal distance from previous prime (103452465637) and next prime (103452465643).

It can be written as a sum of positive squares in 4 ways, for example, as 101395117476 + 2057348164 = 318426^2 + 45358^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 103452465593 and 103452465602.

It is not an unprimeable number, because it can be changed into a prime (103452465643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240232 + ... + 514408.

Almost surely, 2103452465640 is an apocalyptic number.

103452465640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103452465640 is an abundant number, since it is smaller than the sum of its proper divisors (129341107040).

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

103452465640 is a wasteful number, since it uses less digits than its factorization.

103452465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283621 (or 283617 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 103452465640 in words is "one hundred three billion, four hundred fifty-two million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 9433 18866 37732 47165 75464 94330 188660 274177 377320 548354 1096708 1370885 2193416 2741770 5483540 10967080 2586311641 5172623282 10345246564 12931558205 20690493128 25863116410 51726232820 103452465640