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11145354500 = 225378773631
BaseRepresentation
bin10100110000101000…
…01001110100000100
31001202201221200010102
422120110021310010
5140311202321000
65041535343232
7543122643620
oct123024116404
931681850112
1011145354500
1147aa297885
1221b0681b18
13108808ac27
1477a30a180
154537023d5
hex298509d04

11145354500 has 96 divisors (see below), whose sum is σ = 27858195456. Its totient is φ = 3815856000.

The previous prime is 11145354481. The next prime is 11145354529. The reversal of 11145354500 is 545354111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067685 + ... + 3071315.

It is an arithmetic number, because the mean of its divisors is an integer number (290189536).

Almost surely, 211145354500 is an apocalyptic number.

11145354500 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 11145354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929097728).

11145354500 is an abundant number, since it is smaller than the sum of its proper divisors (16712840956).

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

11145354500 is a wasteful number, since it uses less digits than its factorization.

11145354500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 11145354500 in words is "eleven billion, one hundred forty-five million, three hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 877 1750 1754 3500 3508 3631 4385 6139 7262 8770 12278 14524 17540 18155 21925 24556 25417 30695 36310 43850 50834 61390 72620 87700 90775 101668 109625 122780 127085 153475 181550 219250 254170 306950 363100 438500 453875 508340 613900 635425 767375 907750 1270850 1534750 1815500 2541700 3069500 3177125 3184387 6354250 6368774 12708500 12737548 15921935 22290709 31843870 44581418 63687740 79609675 89162836 111453545 159219350 222907090 318438700 398048375 445814180 557267725 796096750 1114535450 1592193500 2229070900 2786338625 5572677250 11145354500