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5526113400 = 23325223133481
BaseRepresentation
bin1010010010110000…
…11100110001111000
3112021010100122110200
411021120130301320
542304141112100
62312203442200
7253641121533
oct51130346170
915233318420
105526113400
11238638a875
1210a2826360
136a0b578b2
143a5cd3a1a
1522522be00
hex14961cc78

5526113400 has 144 divisors (see below), whose sum is σ = 19365568560. Its totient is φ = 1409548800.

The previous prime is 5526113321. The next prime is 5526113419. The reversal of 5526113400 is 43116255.

5526113400 is a `hidden beast` number, since 5 + 5 + 2 + 611 + 3 + 40 + 0 = 666.

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, 25341 + ... + 108140.

It is an arithmetic number, because the mean of its divisors is an integer number (134483115).

Almost surely, 25526113400 is an apocalyptic number.

5526113400 is a gapful number since it is divisible by the number (50) 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 5526113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682784280).

5526113400 is an abundant number, since it is smaller than the sum of its proper divisors (13839455160).

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

5526113400 is a wasteful number, since it uses less digits than its factorization.

5526113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133526 (or 133514 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5526113400 is about 74337.8328981952. The cubic root of 5526113400 is about 1767.9633761515.

Adding to 5526113400 its reverse (43116255), we get a palindrome (5569229655).

The spelling of 5526113400 in words is "five billion, five hundred twenty-six million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 133481 266962 400443 533924 667405 800886 1067848 1201329 1334810 1601772 2002215 2402658 2669620 3070063 3203544 3337025 4004430 4805316 5339240 6006645 6140126 6674050 8008860 9210189 9610632 10011075 12013290 12280252 13348100 15350315 16017720 18420378 20022150 24026580 24560504 26696200 27630567 30033225 30700630 36840756 40044300 46050945 48053160 55261134 60066450 61401260 73681512 76751575 80088600 92101890 110522268 120132900 122802520 138152835 153503150 184203780 221044536 230254725 240265800 276305670 307006300 368407560 460509450 552611340 614012600 690764175 921018900 1105222680 1381528350 1842037800 2763056700 5526113400