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2070635708772 = 2235171078231423
BaseRepresentation
bin11110001000011011100…
…000011000000101100100
321022221200011101122100000
4132020123200120011210
5232411130220140042
64223123101221300
7302412166060041
oct36103340300544
97287604348300
102070635708772
11729173970304
12295377861830
1312034c5cab57
147230daa61c8
1538cde31174c
hex1e21b818164

2070635708772 has 288 divisors, whose sum is σ = 5812097421312. Its totient is φ = 642306433536.

The previous prime is 2070635708767. The next prime is 2070635708783. The reversal of 2070635708772 is 2778075360702.

It is a happy number.

2070635708772 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 63 + 570 + 8 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455119253 + ... + 1455120675.

It is an arithmetic number, because the mean of its divisors is an integer number (20180893824).

Almost surely, 22070635708772 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 2070635708772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906048710656).

2070635708772 is an abundant number, since it is smaller than the sum of its proper divisors (3741461712540).

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

2070635708772 is a wasteful number, since it uses less digits than its factorization.

2070635708772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 2070635708772 in words is "two trillion, seventy billion, six hundred thirty-five million, seven hundred eight thousand, seven hundred seventy-two".