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11360149680 = 2435114303087
BaseRepresentation
bin10101001010001111…
…00010000010110000
31002022201010101201110
422211013202002300
5141231144242210
65115131233320
7551341451625
oct124507420260
932281111643
1011360149680
1148aa565660
1222505a8840
1310c0725579
1479aa6034c
154674d0420
hex2a51e20b0

11360149680 has 80 divisors (see below), whose sum is σ = 38417969664. Its totient is φ = 2753975040.

The previous prime is 11360149667. The next prime is 11360149681. The reversal of 11360149680 is 8694106311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11360149681) by changing a digit.

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, 2148904 + ... + 2154183.

Almost surely, 211360149680 is an apocalyptic number.

11360149680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11360149680 is an abundant number, since it is smaller than the sum of its proper divisors (27057819984).

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

11360149680 is a wasteful number, since it uses less digits than its factorization.

11360149680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303114 (or 4303108 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 11360149680 in words is "eleven billion, three hundred sixty million, one hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4303087 8606174 12909261 17212348 21515435 25818522 34424696 43030870 47333957 51637044 64546305 68849392 86061740 94667914 103274088 129092610 142001871 172123480 189335828 206548176 236669785 258185220 284003742 344246960 378671656 473339570 516370440 568007484 710009355 757343312 946679140 1032740880 1136014968 1420018710 1893358280 2272029936 2840037420 3786716560 5680074840 11360149680