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11364489400 = 23521123731259
BaseRepresentation
bin10101001010110000…
…00101100010111000
31002100000021212200211
422211120011202320
5141233302130100
65115404240504
7551423365105
oct124530054270
932300255624
1011364489400
114901a5a100
122251b40134
1310c15b4954
1479b46daac
15467a8b1ba
hex2a56058b8

11364489400 has 144 divisors (see below), whose sum is σ = 29143837800. Its totient is φ = 4118188800.

The previous prime is 11364489379. The next prime is 11364489419. The reversal of 11364489400 is 498446311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9025971 + ... + 9027229.

Almost surely, 211364489400 is an apocalyptic number.

11364489400 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 11364489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14571918900).

11364489400 is an abundant number, since it is smaller than the sum of its proper divisors (17779348400).

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

11364489400 is a wasteful number, since it uses less digits than its factorization.

11364489400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 11364489400 in words is "eleven billion, three hundred sixty-four million, four hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 373 440 484 550 605 746 968 1100 1210 1259 1492 1865 2200 2420 2518 2984 3025 3730 4103 4840 5036 6050 6295 7460 8206 9325 10072 12100 12590 13849 14920 16412 18650 20515 24200 25180 27698 31475 32824 37300 41030 45133 50360 55396 62950 69245 74600 82060 90266 102575 110792 125900 138490 152339 164120 180532 205150 225665 251800 276980 304678 346225 361064 410300 451330 469607 553960 609356 692450 761695 820600 902660 939214 1128325 1218712 1384900 1523390 1805320 1878428 2256650 2348035 2769800 3046780 3756856 3808475 4513300 4696070 5165677 6093560 7616950 9026600 9392140 10331354 11740175 15233900 18784280 20662708 23480350 25828385 30467800 41325416 46960700 51656770 56822447 93921400 103313540 113644894 129141925 206627080 227289788 258283850 284112235 454579576 516567700 568224470 1033135400 1136448940 1420561175 2272897880 2841122350 5682244700 11364489400