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13603977140 = 225132914912109
BaseRepresentation
bin11001010101101110…
…00011011110110100
31022010002021122100012
430222313003132310
5210330104232030
610125524235352
7661055616635
oct145267033664
938102248305
1013603977140
1158510aa416
122777b3bb58
13138a560920
14930a6988c
155494a8095
hex32adc37b4

13603977140 has 96 divisors (see below), whose sum is σ = 32043060000. Its totient is φ = 4816852992.

The previous prime is 13603977131. The next prime is 13603977193. The reversal of 13603977140 is 4177930631.

It can be written as a sum of positive squares in 16 ways, for example, as 3119445904 + 10484531236 = 55852^2 + 102394^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1117406 + ... + 1129514.

It is an arithmetic number, because the mean of its divisors is an integer number (333781875).

Almost surely, 213603977140 is an apocalyptic number.

13603977140 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 13603977140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021530000).

13603977140 is an abundant number, since it is smaller than the sum of its proper divisors (18439082860).

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

13603977140 is a wasteful number, since it uses less digits than its factorization.

13603977140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The spelling of 13603977140 in words is "thirteen billion, six hundred three million, nine hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 149 260 290 298 377 580 596 745 754 1490 1508 1885 1937 2980 3770 3874 4321 7540 7748 8642 9685 12109 17284 19370 21605 24218 38740 43210 48436 56173 60545 86420 112346 121090 157417 224692 242180 280865 314834 351161 561730 629668 702322 787085 1123460 1404644 1574170 1755805 1804241 3148340 3511610 3608482 4565093 7023220 7216964 9021205 9130186 18042410 18260372 22825465 23455133 36084820 45650930 46910266 52322989 91301860 93820532 104645978 117275665 209291956 234551330 261614945 469102660 523229890 680198857 1046459780 1360397714 2720795428 3400994285 6801988570 13603977140