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2022010652128 = 25373975577723
BaseRepresentation
bin11101011011001001001…
…110100000010111100000
321011022011101202211102011
4131123021032200113200
5231112034211332003
64144522053402304
7266041210650355
oct35331116402740
97138141684364
102022010652128
1170a591332585
12287a67339394
131188a067599c
146dc19c0462c
15378e551246d
hex1d6c93a05e0

2022010652128 has 96 divisors (see below), whose sum is σ = 4106612097504. Its totient is φ = 979314665472.

The previous prime is 2022010652119. The next prime is 2022010652143. The reversal of 2022010652128 is 8212560102202.

It is a self number, because there is not a number n which added to its sum of digits gives 2022010652128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261812875 + ... + 261820597.

It is an arithmetic number, because the mean of its divisors is an integer number (42777209349).

Almost surely, 22022010652128 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 2022010652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053306048752).

2022010652128 is an abundant number, since it is smaller than the sum of its proper divisors (2084601445376).

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

2022010652128 is a wasteful number, since it uses less digits than its factorization.

2022010652128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 2022010652128 in words is "two trillion, twenty-two billion, ten million, six hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 397 557 592 794 1114 1184 1588 2228 3176 4456 6352 7723 8912 12704 14689 15446 17824 20609 29378 30892 41218 58756 61784 82436 117512 123568 164872 221129 235024 247136 285751 329744 442258 470048 571502 659488 884516 1143004 1769032 2286008 3066031 3538064 4301711 4572016 6132062 7076128 8181773 8603422 9144032 12264124 16363546 17206844 24528248 32727092 34413688 49056496 65454184 68827376 98112992 113443147 130908368 137654752 159163307 226886294 261816736 318326614 453772588 636653228 907545176 1273306456 1707779267 1815090352 2546612912 3415558534 3630180704 5093225824 6831117068 13662234136 27324468272 54648936544 63187832879 126375665758 252751331516 505502663032 1011005326064 2022010652128