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11437115140 = 22511379671453
BaseRepresentation
bin10101010011011010…
…01000011100000100
31002112001221122111001
422221231020130010
5141410400141030
65130521023044
7553264606003
oct125155103404
932461848431
1011437115140
114939a53980
122272324a84
131103662669
147a6d76c3a
1546e134cca
hex2a9b48704

11437115140 has 96 divisors (see below), whose sum is σ = 26955903744. Its totient is φ = 4039580160.

The previous prime is 11437115077. The next prime is 11437115153. The reversal of 11437115140 is 4151173411.

It is a junction number, because it is equal to n+sod(n) for n = 11437115099 and 11437115108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7870654 + ... + 7872106.

It is an arithmetic number, because the mean of its divisors is an integer number (280790664).

Almost surely, 211437115140 is an apocalyptic number.

11437115140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11437115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13477951872).

11437115140 is an abundant number, since it is smaller than the sum of its proper divisors (15518788604).

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

11437115140 is a wasteful number, since it uses less digits than its factorization.

11437115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 11437115140 its reverse (4151173411), we get a palindrome (15588288551).

The spelling of 11437115140 in words is "eleven billion, four hundred thirty-seven million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 967 1453 1628 1934 2035 2906 3868 4070 4835 5812 7265 8140 9670 10637 14530 15983 19340 21274 29060 31966 35779 42548 53185 53761 63932 71558 79915 106370 107522 143116 159830 178895 212740 215044 268805 319660 357790 393569 537610 591371 715580 787138 1075220 1182742 1405051 1574276 1967845 2365484 2810102 2956855 3935690 5620204 5913710 7025255 7871380 11827420 14050510 15455561 28101020 30911122 51986887 61822244 77277805 103973774 154555610 207947548 259934435 309111220 519868870 571855757 1039737740 1143711514 2287423028 2859278785 5718557570 11437115140