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10437404437340 = 22537103913575169
BaseRepresentation
bin1001011111100010010111…
…0010001010101101011100
31100221210202122211220201022
42113320211302022231130
52332001301013443330
634110513304103312
72125035416616116
oct227704562125534
940853678756638
1010437404437340
11336452977a851
121206a09764b38
135a9320b9ab0a
1428125cc943b6
1513177a51cae5
hex97e25c8ab5c

10437404437340 has 48 divisors (see below), whose sum is σ = 22532610172800. Its totient is φ = 4058215022592.

The previous prime is 10437404437337. The next prime is 10437404437349. The reversal of 10437404437340 is 4373440473401.

It is a super-2 number, since 2×104374044373402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10437404437291 and 10437404437300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10437404437349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6018725 + ... + 7556444.

It is an arithmetic number, because the mean of its divisors is an integer number (469429378600).

Almost surely, 210437404437340 is an apocalyptic number.

10437404437340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10437404437340 is an abundant number, since it is smaller than the sum of its proper divisors (12095205735460).

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

10437404437340 is a wasteful number, since it uses less digits than its factorization.

10437404437340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576254 (or 13576252 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 44.

The spelling of 10437404437340 in words is "ten trillion, four hundred thirty-seven billion, four hundred four million, four hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1039 2078 4156 5195 10390 20780 38443 76886 153772 192215 384430 768860 13575169 27150338 54300676 67875845 135751690 271503380 502281253 1004562506 2009125012 2511406265 5022812530 10045625060 14104600591 28209201182 56418402364 70523002955 141046005910 282092011820 521870221867 1043740443734 2087480887468 2609351109335 5218702218670 10437404437340