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1002243033552 = 2437310110932591
BaseRepresentation
bin11101001010110100101…
…01110000100111010000
310112210222001002100001210
432211122111300213100
5112410043204033202
62044231334300120
7132260342136315
oct16453225604720
93483861070053
101002243033552
1135705a078232
121422a91b7640
1373684bb6727
143671a2c6d0c
151b10d633c6c
hexe95a5709d0

1002243033552 has 160 divisors (see below), whose sum is σ = 2654030416896. Its totient is φ = 325817856000.

The previous prime is 1002243033509. The next prime is 1002243033557. The reversal of 1002243033552 is 2553303422001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002243033557) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 386815777 + ... + 386818367.

Almost surely, 21002243033552 is an apocalyptic number.

1002243033552 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 1002243033552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327015208448).

1002243033552 is an abundant number, since it is smaller than the sum of its proper divisors (1651787383344).

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

1002243033552 is a wasteful number, since it uses less digits than its factorization.

1002243033552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 1002243033552 its reverse (2553303422001), we get a palindrome (3555546455553).

The spelling of 1002243033552 in words is "one trillion, two billion, two hundred forty-three million, thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 101 146 202 219 292 303 404 438 584 606 808 876 1093 1168 1212 1616 1752 2186 2424 2591 3279 3504 4372 4848 5182 6558 7373 7773 8744 10364 13116 14746 15546 17488 20728 22119 26232 29492 31092 41456 44238 52464 58984 62184 79789 88476 110393 117968 124368 159578 176952 189143 220786 239367 261691 319156 331179 353904 378286 441572 478734 523382 567429 638312 662358 756572 785073 883144 957468 1046764 1134858 1276624 1324716 1513144 1570146 1766288 1914936 2093528 2269716 2649432 2831963 3026288 3140292 3829872 4187056 4539432 5298864 5663926 6280584 8058689 8495889 9078864 11327852 12561168 16117378 16991778 19103443 22655704 24176067 32234756 33983556 38206886 45311408 48352134 57310329 64469512 67967112 76413772 96704268 114620658 128939024 135934224 152827544 193408536 206733299 229241316 286028263 305655088 386817072 413466598 458482632 572056526 620199897 826933196 858084789 916965264 1144113052 1240399794 1653866392 1716169578 2288226104 2480799588 3307732784 3432339156 4576452208 4961599176 6864678312 9923198352 13729356624 20880063199 41760126398 62640189597 83520252796 125280379194 167040505592 250560758388 334081011184 501121516776 1002243033552