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11400748700 = 225211891011153
BaseRepresentation
bin10101001111000100…
…11001111010011100
31002102112112001002212
422213202121322130
5141322042424300
65123141335552
7552343523255
oct124742317234
932375461085
1011400748700
114920475270
1222621075b8
1310c8c6b963
147a21cbb2c
1546ad4e935
hex2a7899e9c

11400748700 has 144 divisors (see below), whose sum is σ = 27586046880. Its totient is φ = 4055040000.

The previous prime is 11400748699. The next prime is 11400748717. The reversal of 11400748700 is 784700411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9887324 + ... + 9888476.

It is an arithmetic number, because the mean of its divisors is an integer number (191569770).

Almost surely, 211400748700 is an apocalyptic number.

11400748700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400748700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793023440).

11400748700 is an abundant number, since it is smaller than the sum of its proper divisors (16185298180).

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

11400748700 is a wasteful number, since it uses less digits than its factorization.

11400748700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 11400748700 in words is "eleven billion, four hundred million, seven hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 101 110 178 202 220 275 356 404 445 505 550 890 979 1010 1100 1111 1153 1780 1958 2020 2222 2225 2306 2525 3916 4444 4450 4612 4895 5050 5555 5765 8900 8989 9790 10100 11110 11530 12683 17978 19580 22220 23060 24475 25366 27775 28825 35956 44945 48950 50732 55550 57650 63415 89890 97900 98879 102617 111100 115300 116453 126830 179780 197758 205234 224725 232906 253660 317075 395516 410468 449450 465812 494395 513085 582265 634150 898900 988790 1026170 1128787 1164530 1268300 1280983 1977580 2052340 2257574 2329060 2471975 2561966 2565425 2911325 4515148 4943950 5123932 5130850 5643935 5822650 6404915 9887900 10261700 10364317 11287870 11645300 12809830 20728634 22575740 25619660 28219675 32024575 41457268 51821585 56439350 64049150 103643170 112878700 114007487 128098300 207286340 228014974 259107925 456029948 518215850 570037435 1036431700 1140074870 2280149740 2850187175 5700374350 11400748700