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2057852048032 = 251119966131849
BaseRepresentation
bin11101111100100001100…
…010100101001010100000
321021201200020200101112201
4131330201202211022200
5232203440111014112
64213210355102544
7301450330541104
oct35744142451240
97251606611481
102057852048032
11723803918830
122929aa5a1a54
1311c092cb4561
1471859d73904
15387e1d95257
hex1df218a52a0

2057852048032 has 96 divisors (see below), whose sum is σ = 4652948664000. Its totient is φ = 886036838400.

The previous prime is 2057852048029. The next prime is 2057852048081. The reversal of 2057852048032 is 2308402587502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64596844 + ... + 64628692.

It is an arithmetic number, because the mean of its divisors is an integer number (48468215250).

Almost surely, 22057852048032 is an apocalyptic number.

2057852048032 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 2057852048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326474332000).

2057852048032 is an abundant number, since it is smaller than the sum of its proper divisors (2595096615968).

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

2057852048032 is a wasteful number, since it uses less digits than its factorization.

2057852048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41550 (or 41542 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 2057852048032 in words is "two trillion, fifty-seven billion, eight hundred fifty-two million, forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 9661 19322 31849 38644 63698 77288 106271 127396 154576 183559 212542 254792 309152 350339 367118 425084 509584 605131 700678 734236 850168 1019168 1210262 1401356 1468472 1700336 2019149 2420524 2802712 2936944 3400672 4038298 4841048 5605424 5873888 6656441 8076596 9682096 11210848 13312882 16153192 19364192 26625764 32306384 53251528 64612768 106503056 213006112 307693189 615386378 1230772756 2461545512 3384625079 4923091024 5846170591 6769250158 9846182048 11692341182 13538500316 23384682364 27077000632 46769364728 54154001264 64307876501 93538729456 108308002528 128615753002 187077458912 257231506004 514463012008 1028926024016 2057852048032