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1545160213968 = 243737678118329
BaseRepresentation
bin10110011111000010101…
…110011100010111010000
312110201022212112201000220
4112133002232130113100
5200303442003321333
63141500425513040
7216430340053650
oct26370256342720
95421285481026
101545160213968
11546331727578
1220b567042780
13b29285916c7
1454b012c2360
152a2d6dd38b3
hex167c2b9c5d0

1545160213968 has 160 divisors (see below), whose sum is σ = 4686142805760. Its totient is φ = 429455831040.

The previous prime is 1545160213889. The next prime is 1545160213969. The reversal of 1545160213968 is 8693120615451.

It is a self number, because there is not a number n which added to its sum of digits gives 1545160213968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545160213969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84292228 + ... + 84310556.

It is an arithmetic number, because the mean of its divisors is an integer number (29288392536).

Almost surely, 21545160213968 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 1545160213968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343071402880).

1545160213968 is an abundant number, since it is smaller than the sum of its proper divisors (3140982591792).

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

1545160213968 is a wasteful number, since it uses less digits than its factorization.

1545160213968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25165 (or 25159 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 1545160213968 in words is "one trillion, five hundred forty-five billion, one hundred sixty million, two hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 6781 12432 13562 18329 20343 27124 36658 40686 47467 54248 54987 73316 81372 94934 108496 109974 128303 142401 146632 162744 189868 219948 250897 256606 284802 293264 325488 379736 384909 439896 501794 513212 569604 678173 752691 759472 769818 879792 1003588 1026424 1139208 1356346 1505382 1539636 1756279 2007176 2034519 2052848 2278416 2712692 3010764 3079272 3512558 4014352 4069038 4747211 5268837 5425384 6021528 6158544 7025116 8138076 9494422 10537674 10850768 12043056 14050232 14241633 16276152 18988844 21075348 28100464 28483266 32552304 37977688 42150696 56966532 75955376 84301392 113933064 124288949 227866128 248577898 372866847 497155796 745733694 870022643 994311592 1491467388 1740045286 1988623184 2610067929 2982934776 3480090572 4598691113 5220135858 5965869552 6960181144 9197382226 10440271716 13796073339 13920362288 18394764452 20880543432 27592146678 32190837791 36789528904 41761086864 55184293356 64381675582 73579057808 96572513373 110368586712 128763351164 193145026746 220737173424 257526702328 386290053492 515053404656 772580106984 1545160213968