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2023071125888 = 27107451932687
BaseRepresentation
bin11101011100001000011…
…011111001000110000000
321011101220022020110221002
4131130020123321012000
5231121222202012023
64145215215151132
7266106405560531
oct35341033710600
97141808213832
102023071125888
1170aa85a0017a
122881025154a8
13118a0c297657
146dcba9b4688
153795868bb28
hex1d7086f9180

2023071125888 has 64 divisors (see below), whose sum is σ = 4069028390400. Its totient is φ = 1001829560832.

The previous prime is 2023071125851. The next prime is 2023071125897. The reversal of 2023071125888 is 8885211703202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61875881 + ... + 61908567.

It is an arithmetic number, because the mean of its divisors is an integer number (63578568600).

Almost surely, 22023071125888 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 2023071125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034514195200).

2023071125888 is an abundant number, since it is smaller than the sum of its proper divisors (2045957264512).

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

2023071125888 is a wasteful number, since it uses less digits than its factorization.

2023071125888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37327 (or 37315 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 2023071125888 in words is "two trillion, twenty-three billion, seventy-one million, one hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 4519 6848 9038 13696 18076 32687 36152 65374 72304 130748 144608 261496 289216 483533 522992 578432 967066 1045984 1934132 2091968 3497509 3868264 4183936 6995018 7736528 13990036 15473056 27980072 30946112 55960144 61892224 111920288 147712553 223840576 295425106 447681152 590850212 1181700424 2363400848 4726801696 9453603392 15805243171 18907206784 31610486342 63220972684 126441945368 252883890736 505767781472 1011535562944 2023071125888