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1209890200032 = 253237163696569
BaseRepresentation
bin10001100110110011000…
…100110101100111100000
311021122221022212022212100
4101212303010311213200
5124310323342400112
62323452121530400
7153261131005323
oct21466304654740
94248838768770
101209890200032
11427125526828
12176599943a00
138a12760cb87
14427b7c687ba
152171310a2dc
hex119b31359e0

1209890200032 has 144 divisors (see below), whose sum is σ = 3555298852560. Its totient is φ = 389988919296.

The previous prime is 1209890200027. The next prime is 1209890200067. The reversal of 1209890200032 is 2300020989021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12098902000322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1209890200032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388644 + ... + 2085212.

It is an arithmetic number, because the mean of its divisors is an integer number (24689575365).

Almost surely, 21209890200032 is an apocalyptic number.

1209890200032 is a gapful number since it is divisible by the number (12) 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 1209890200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777649426280).

1209890200032 is an abundant number, since it is smaller than the sum of its proper divisors (2345408652528).

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

1209890200032 is a wasteful number, since it uses less digits than its factorization.

1209890200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696785 (or 696774 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1209890200032 in words is "one trillion, two hundred nine billion, eight hundred ninety million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 163 222 288 296 326 333 444 489 592 652 666 888 978 1184 1304 1332 1467 1776 1956 2608 2664 2934 3552 3912 5216 5328 5868 6031 7824 10656 11736 12062 15648 18093 23472 24124 36186 46944 48248 54279 72372 96496 108558 144744 192992 217116 289488 434232 578976 696569 868464 1393138 1736928 2089707 2786276 4179414 5572552 6269121 8358828 11145104 12538242 16717656 22290208 25076484 25773053 33435312 50152968 51546106 66870624 77319159 100305936 103092212 113540747 154638318 200611872 206184424 227081494 231957477 309276636 340622241 412368848 454162988 463914954 618553272 681244482 824737696 908325976 927829908 1021866723 1237106544 1362488964 1816651952 1855659816 2043733446 2474213088 2724977928 3633303904 3711319632 4087466892 4201007639 5449955856 7422639264 8174933784 8402015278 10899911712 12603022917 16349867568 16804030556 25206045834 32699735136 33608061112 37809068751 50412091668 67216122224 75618137502 100824183336 134432244448 151236275004 201648366672 302472550008 403296733344 604945100016 1209890200032