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1123842008752 = 241719479453991
BaseRepresentation
bin10000010110101010001…
…101000010011010110000
310222102211111000022011221
4100112222031002122300
5121403112023240002
62220141430314424
7144123565313101
oct20265215023260
93872744008157
101123842008752
113a3689574061
121619844b8a14
1381c93438268
143c573b383a8
151e378b84c37
hex105aa3426b0

1123842008752 has 80 divisors (see below), whose sum is σ = 2431944345600. Its totient is φ = 499984634880.

The previous prime is 1123842008719. The next prime is 1123842008753. The reversal of 1123842008752 is 2578002483211.

It is a super-3 number, since 3×11238420087523 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123842008699 and 1123842008708.

It is not an unprimeable number, because it can be changed into a prime (1123842008753) 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, 2248477 + ... + 2702467.

It is an arithmetic number, because the mean of its divisors is an integer number (30399304320).

Almost surely, 21123842008752 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 1123842008752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215972172800).

1123842008752 is an abundant number, since it is smaller than the sum of its proper divisors (1308102336848).

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

1123842008752 is a wasteful number, since it uses less digits than its factorization.

1123842008752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454514 (or 454508 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 1123842008752 in words is "one trillion, one hundred twenty-three billion, eight hundred forty-two million, eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 479 646 958 1292 1916 2584 3832 5168 7664 8143 9101 16286 18202 32572 36404 65144 72808 130288 145616 154717 309434 453991 618868 907982 1237736 1815964 2475472 3631928 7263856 7717847 8625829 15435694 17251658 30871388 34503316 61742776 69006632 123485552 138013264 146639093 217461689 293278186 434923378 586556372 869846756 1173112744 1739693512 2346225488 3479387024 3696848713 4131772091 7393697426 8263544182 14787394852 16527088364 29574789704 33054176728 59149579408 66108353456 70240125547 140480251094 280960502188 561921004376 1123842008752