Search a number
-
+
11408990056920 = 23325311022310937
BaseRepresentation
bin1010011000000101110011…
…0011001011000111011000
31111101200121010121020222100
42212001130303023013120
52443411102423310140
640133115003523400
72255162260253661
oct246013463130730
944350533536870
1011408990056920
1136a9586501115
12134317b829560
13649b2b4409b1
142b62ab6c2368
1514bb92468530
hexa605cccb1d8

11408990056920 has 96 divisors (see below), whose sum is σ = 38275321518720. Its totient is φ = 2944255495680.

The previous prime is 11408990056913. The next prime is 11408990056979. The reversal of 11408990056920 is 2965009980411.

11408990056920 is a `hidden beast` number, since 11 + 40 + 8 + 9 + 9 + 0 + 0 + 569 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511144309 + ... + 511166628.

It is an arithmetic number, because the mean of its divisors is an integer number (398701265820).

Almost surely, 211408990056920 is an apocalyptic number.

11408990056920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11408990056920 is an abundant number, since it is smaller than the sum of its proper divisors (26866331461800).

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

11408990056920 is a wasteful number, since it uses less digits than its factorization.

11408990056920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022310985 (or 1022310978 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11408990056920 in words is "eleven trillion, four hundred eight billion, nine hundred ninety million, fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 1022310937 2044621874 3066932811 4089243748 5111554685 6133865622 8178487496 9200798433 10223109370 12267731244 15334664055 18401596866 20446218740 24535462488 30669328110 31691639047 36803193732 40892437480 46003992165 61338656220 63383278094 73606387464 92007984330 95074917141 122677312440 126766556188 158458195235 184015968660 190149834282 253533112376 285224751423 316916390470 368031937320 380299668564 475374585705 570449502846 633832780940 760599337128 950749171410 1140899005692 1267665561880 1426123757115 1901498342820 2281798011384 2852247514230 3802996685640 5704495028460 11408990056920