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2029769820672 = 293114113122367
BaseRepresentation
bin11101100010010111101…
…101011000101000000000
321012001012011000102122220
4131202113231120220000
5231223432033230142
64152244031331040
7266434405543116
oct35422755305000
97161164012586
102029769820672
11712903169770
12289471980a80
13119539036689
14703544dbab6
1537beb7da2ec
hex1d897b58a00

2029769820672 has 320 divisors, whose sum is σ = 6089298259968. Its totient is φ = 595472384000.

The previous prime is 2029769820671. The next prime is 2029769820679. The reversal of 2029769820672 is 2760289679202.

It is not an unprimeable number, because it can be changed into a prime (2029769820671) 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, 90737233 + ... + 90759599.

Almost surely, 22029769820672 is an apocalyptic number.

2029769820672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029769820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044649129984).

2029769820672 is an abundant number, since it is smaller than the sum of its proper divisors (4059528439296).

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

2029769820672 is a wasteful number, since it uses less digits than its factorization.

2029769820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22571 (or 22555 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 2029769820672 in words is "two trillion, twenty-nine billion, seven hundred sixty-nine million, eight hundred twenty thousand, six hundred seventy-two".