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1351152650752 = 29192311353441
BaseRepresentation
bin10011101010010110111…
…110010100101000000000
311210011120011002100102121
4103222112332110220000
5134114130034311002
62512413322254024
7166421552015062
oct23522676245000
94704504070377
101351152650752
114810254a0873
12199a42357314
139a54a8c0918
1449579001732
152522eaa1237
hex13a96f94a00

1351152650752 has 160 divisors (see below), whose sum is σ = 2991606203520. Its totient is φ = 606763745280.

The previous prime is 1351152650719. The next prime is 1351152650753. The reversal of 1351152650752 is 2570562511531.

It is a super-3 number, since 3×13511526507523 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1351152650699 and 1351152650708.

It is not an unprimeable number, because it can be changed into a prime (1351152650753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25256352 + ... + 25309792.

It is an arithmetic number, because the mean of its divisors is an integer number (18697538772).

Almost surely, 21351152650752 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 1351152650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495803101760).

1351152650752 is an abundant number, since it is smaller than the sum of its proper divisors (1640453552768).

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

1351152650752 is a wasteful number, since it uses less digits than its factorization.

1351152650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53614 (or 53598 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 1351152650752 in words is "one trillion, three hundred fifty-one billion, one hundred fifty-two million, six hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 113 128 152 184 226 256 304 368 437 452 512 608 736 874 904 1216 1472 1748 1808 2147 2432 2599 2944 3496 3616 4294 4864 5198 5888 6992 7232 8588 9728 10396 11776 13984 14464 17176 20792 27968 28928 34352 41584 49381 53441 55936 57856 68704 83168 98762 106882 111872 137408 166336 197524 213764 223744 274816 332672 395048 427528 549632 665344 790096 855056 1015379 1099264 1229143 1330688 1580192 1710112 2030758 2458286 3160384 3420224 4061516 4916572 6038833 6320768 6840448 8123032 9833144 12077666 12641536 13680896 16246064 19666288 23353717 24155332 25283072 27361792 32492128 39332576 46707434 48310664 64984256 78665152 93414868 96621328 114737827 129968512 138893159 157330304 186829736 193242656 229475654 259937024 277786318 314660608 373659472 386485312 458951308 519874048 555572636 629321216 747318944 772970624 917902616 1111145272 1494637888 1545941248 1835805232 2222290544 2638970021 2989275776 3091882496 3671610464 4444581088 5277940042 5978551552 7343220928 8889162176 10555880084 11957103104 14686441856 17778324352 21111760168 29372883712 35556648704 42223520336 58745767424 71113297408 84447040672 168894081344 337788162688 675576325376 1351152650752