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11375127840 = 253579299977
BaseRepresentation
bin10101001100000001…
…01010110100100000
31002100202022100220010
422212000222310200
5141244013042330
65120424244520
7551612664006
oct124600526440
932322270803
1011375127840
114907a659aa
122255610740
1310c386ac9b
1479ca3ca76
1546898d3b0
hex2a602ad20

11375127840 has 96 divisors (see below), whose sum is σ = 36285338880. Its totient is φ = 2994960384.

The previous prime is 11375127833. The next prime is 11375127853. The reversal of 11375127840 is 4872157311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 112069 + ... + 187908.

It is an arithmetic number, because the mean of its divisors is an integer number (377972280).

Almost surely, 211375127840 is an apocalyptic number.

11375127840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11375127840 is an abundant number, since it is smaller than the sum of its proper divisors (24910211040).

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

11375127840 is a wasteful number, since it uses less digits than its factorization.

11375127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300074 (or 300066 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 11375127840 in words is "eleven billion, three hundred seventy-five million, one hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12640 18960 37920 299977 599954 899931 1199908 1499885 1799862 2399816 2999770 3599724 4499655 4799632 5999540 7199448 8999310 9599264 11999080 14398896 17998620 23698183 23998160 28797792 35997240 47396366 47996320 71094549 71994480 94792732 118490915 142189098 143988960 189585464 236981830 284378196 355472745 379170928 473963660 568756392 710945490 758341856 947927320 1137512784 1421890980 1895854640 2275025568 2843781960 3791709280 5687563920 11375127840