Search a number
-
+
11693629040 = 2451931248167
BaseRepresentation
bin10101110001111111…
…01001111001110000
31010011221121220101212
422320333221321300
5142422032112130
65212203015252
7562531130642
oct127077517160
933157556355
1011693629040
114a60826635
12232420a528
131144845c32
147cd06a892
15486903e95
hex2b8fe9e70

11693629040 has 80 divisors (see below), whose sum is σ = 29541918720. Its totient is φ = 4288308480.

The previous prime is 11693628997. The next prime is 11693629043. The reversal of 11693629040 is 4092639611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11693629043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76964 + ... + 171203.

It is an arithmetic number, because the mean of its divisors is an integer number (369273984).

Almost surely, 211693629040 is an apocalyptic number.

11693629040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11693629040 is an abundant number, since it is smaller than the sum of its proper divisors (17848289680).

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

11693629040 is a wasteful number, since it uses less digits than its factorization.

11693629040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248230 (or 248224 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 11693629040 in words is "eleven billion, six hundred ninety-three million, six hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 47120 248167 496334 992668 1240835 1985336 2481670 3970672 4715173 4963340 7693177 9430346 9926680 15386354 18860692 19853360 23575865 30772708 37721384 38465885 47151730 61545416 75442768 76931770 94303460 123090832 146170363 153863540 188606920 292340726 307727080 377213840 584681452 615454160 730851815 1169362904 1461703630 2338725808 2923407260 5846814520 11693629040