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20434673400 = 23352137248597
BaseRepresentation
bin10011000010000000…
…000101111011111000
31221202010102222001120
4103002000011323320
5313322234022100
613215413545240
71322250600201
oct230200057370
957663388046
1020434673400
118736927639
123b63645220
131c0876942b
14dbbd145a8
157e8ecd0a0
hex4c2005ef8

20434673400 has 96 divisors (see below), whose sum is σ = 63810134640. Its totient is φ = 5409448960.

The previous prime is 20434673393. The next prime is 20434673411. The reversal of 20434673400 is 437643402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42099 + ... + 206498.

Almost surely, 220434673400 is an apocalyptic number.

20434673400 is a gapful number since it is divisible by the number (20) 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 20434673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31905067320).

20434673400 is an abundant number, since it is smaller than the sum of its proper divisors (43375461240).

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

20434673400 is a wasteful number, since it uses less digits than its factorization.

20434673400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248753 (or 248744 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 20434673400 in words is "twenty billion, four hundred thirty-four million, six hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 274 300 411 548 600 685 822 1096 1370 1644 2055 2740 3288 3425 4110 5480 6850 8220 10275 13700 16440 20550 27400 41100 82200 248597 497194 745791 994388 1242985 1491582 1988776 2485970 2983164 3728955 4971940 5966328 6214925 7457910 9943880 12429850 14915820 18644775 24859700 29831640 34057789 37289550 49719400 68115578 74579100 102173367 136231156 149158200 170288945 204346734 272462312 340577890 408693468 510866835 681155780 817386936 851444725 1021733670 1362311560 1702889450 2043467340 2554334175 3405778900 4086934680 5108668350 6811557800 10217336700 20434673400