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11742137000 = 2353111067467
BaseRepresentation
bin10101110111110001…
…01100101010101000
31010022022220100210222
422323320230222220
5143021441341000
65221054425212
7563660342366
oct127370545250
933268810728
1011742137000
114a86148360
122338502208
1311518cb179
147d5696636
1548acd6a85
hex2bbe2caa8

11742137000 has 64 divisors (see below), whose sum is σ = 29974501440. Its totient is φ = 4269864000.

The previous prime is 11742136927. The next prime is 11742137039. The reversal of 11742137000 is 73124711.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522734 + ... + 544733.

It is an arithmetic number, because the mean of its divisors is an integer number (468351585).

Almost surely, 211742137000 is an apocalyptic number.

11742137000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11742137000 is an abundant number, since it is smaller than the sum of its proper divisors (18232364440).

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

11742137000 is a wasteful number, since it uses less digits than its factorization.

11742137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067499 (or 1067485 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The spelling of 11742137000 in words is "eleven billion, seven hundred forty-two million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1067467 2134934 4269868 5337335 8539736 10674670 11742137 21349340 23484274 26686675 42698680 46968548 53373350 58710685 93937096 106746700 117421370 133433375 213493400 234842740 266866750 293553425 469685480 533733500 587106850 1067467000 1174213700 1467767125 2348427400 2935534250 5871068500 11742137000