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2872140787648 = 261153103747343
BaseRepresentation
bin101001110010111000111…
…011100110111111000000
3101011120111102121022101201
4221302320323212333000
5334024121020201043
610035235424510544
7414335216612116
oct51627073467700
911146442538351
102872140787648
11a08082664040
123a478217b454
1317aac3327432
149d025c93ab6
154ea9e802c4d
hex29cb8ee6fc0

2872140787648 has 112 divisors (see below), whose sum is σ = 6396355869696. Its totient is φ = 1268448629760.

The previous prime is 2872140787643. The next prime is 2872140787651. The reversal of 2872140787648 is 8467870412782.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2872140787648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872140787643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3469465 + ... + 4216807.

Almost surely, 22872140787648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872140787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198177934848).

2872140787648 is an abundant number, since it is smaller than the sum of its proper divisors (3524215082048).

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

2872140787648 is a wasteful number, since it uses less digits than its factorization.

2872140787648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747522 (or 747512 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 64.

The spelling of 2872140787648 in words is "two trillion, eight hundred seventy-two billion, one hundred forty million, seven hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 103 106 176 206 212 352 412 424 583 704 824 848 1133 1166 1648 1696 2266 2332 3296 3392 4532 4664 5459 6592 9064 9328 10918 18128 18656 21836 36256 37312 43672 60049 72512 87344 120098 174688 240196 349376 480392 747343 960784 1494686 1921568 2989372 3843136 5978744 8220773 11957488 16441546 23914976 32883092 39609179 47829952 65766184 76976329 79218358 131532368 153952658 158436716 263064736 307905316 316873432 435700969 526129472 615810632 633746864 846739619 871401938 1231621264 1267493728 1693479238 1742803876 2463242528 2534987456 3386958476 3485607752 4079745437 4926485056 6773916952 6971215504 8159490874 13547833904 13942431008 16318981748 27095667808 27884862016 32637963496 44877199807 54191335616 65275926992 89754399614 130551853984 179508799228 261103707968 359017598456 718035196912 1436070393824 2872140787648