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103737740440 = 23554716632851
BaseRepresentation
bin110000010011101000…
…0000100110010011000
3100220202122212020012211
41200213100010302120
53144423330143230
6115353443444504
710331501146645
oct1404720046230
9326678766184
10103737740440
113aaa4282894
1218131686734
139a22cb8589
145041626dcc
152a7245842a
hex1827404c98

103737740440 has 64 divisors (see below), whose sum is σ = 234059304960. Its totient is φ = 41379811200.

The previous prime is 103737740437. The next prime is 103737740453. The reversal of 103737740440 is 44047737301.

It is a super-2 number, since 2×1037377404402 (a number of 23 digits) contains 22 as substring.

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 = 103737740393 and 103737740402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36385015 + ... + 36387865.

It is an arithmetic number, because the mean of its divisors is an integer number (3657176640).

Almost surely, 2103737740440 is an apocalyptic number.

103737740440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103737740440 is an abundant number, since it is smaller than the sum of its proper divisors (130321564520).

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

103737740440 is a wasteful number, since it uses less digits than its factorization.

103737740440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 103737740440 in words is "one hundred three billion, seven hundred thirty-seven million, seven hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 547 1094 1663 2188 2735 2851 3326 4376 5470 5702 6652 8315 10940 11404 13304 14255 16630 21880 22808 28510 33260 57020 66520 114040 909661 1559497 1819322 3118994 3638644 4548305 4741213 6237988 7277288 7797485 9096610 9482426 12475976 15594970 18193220 18964852 23706065 31189940 36386440 37929704 47412130 62379880 94824260 189648520 2593443511 5186887022 10373774044 12967217555 20747548088 25934435110 51868870220 103737740440