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2120495429376 = 28322203417773
BaseRepresentation
bin11110110110110111011…
…000000111011100000000
321111201100222020212210200
4132312313120013130000
5234220233312220001
64302050412125200
7306125565520002
oct36666730073400
97451328225720
102120495429376
1174832a430375
122a2b71766800
13124c672932cc
14748bd91c372
153a25b6e7086
hex1edb7607700

2120495429376 has 108 divisors (see below), whose sum is σ = 6116700991128. Its totient is φ = 706509268992.

The previous prime is 2120495429329. The next prime is 2120495429387. The reversal of 2120495429376 is 6739245940212.

It is a happy number.

2120495429376 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 9 + 542 + 93 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866826 + ... + 5284598.

Almost surely, 22120495429376 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 2120495429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058350495564).

2120495429376 is an abundant number, since it is smaller than the sum of its proper divisors (3996205561752).

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

2120495429376 is a wasteful number, since it uses less digits than its factorization.

2120495429376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419998 (or 419981 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2120495429376 in words is "two trillion, one hundred twenty billion, four hundred ninety-five million, four hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2203 2304 4406 6609 8812 13218 17624 19827 26436 35248 39654 52872 70496 79308 105744 140992 158616 211488 281984 317232 417773 422976 563968 634464 835546 845952 1253319 1268928 1671092 1691904 2506638 2537856 3342184 3759957 5013276 5075712 6684368 7519914 10026552 13368736 15039828 20053104 26737472 30079656 40106208 53474944 60159312 80212416 106949888 120318624 160424832 240637248 320849664 481274496 920353919 962548992 1840707838 2761061757 3681415676 5522123514 7362831352 8283185271 11044247028 14725662704 16566370542 22088494056 29451325408 33132741084 44176988112 58902650816 66265482168 88353976224 117805301632 132530964336 176707952448 235610603264 265061928672 353415904896 530123857344 706831809792 1060247714688 2120495429376