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2042026686400 = 26529971280107
BaseRepresentation
bin11101101101110010010…
…001100111011111000000
321020012211100110201112211
4131231302101213133000
5231424032312431100
64202032154431504
7300350216305411
oct35556221473700
97205740421484
102042026686400
11718022913368
1228b912732594
1311a74047594c
1470b982a1808
15381b78991ba
hex1db724677c0

2042026686400 has 84 divisors (see below), whose sum is σ = 5029705625608. Its totient is φ = 815990768640.

The previous prime is 2042026686397. The next prime is 2042026686419. The reversal of 2042026686400 is 46866202402.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955147 + ... + 2235253.

Almost surely, 22042026686400 is an apocalyptic number.

2042026686400 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 2042026686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514852812804).

2042026686400 is an abundant number, since it is smaller than the sum of its proper divisors (2987678939208).

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

2042026686400 is a wasteful number, since it uses less digits than its factorization.

2042026686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281126 (or 1281111 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 2042026686400 in words is "two trillion, forty-two billion, twenty-six million, six hundred eighty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 997 1600 1994 3988 4985 7976 9970 15952 19940 24925 31904 39880 49850 63808 79760 99700 159520 199400 319040 398800 797600 1280107 1595200 2560214 5120428 6400535 10240856 12801070 20481712 25602140 32002675 40963424 51204280 64005350 81926848 102408560 128010700 204817120 256021400 409634240 512042800 1024085600 1276266679 2048171200 2552533358 5105066716 6381333395 10210133432 12762666790 20420266864 25525333580 31906666975 40840533728 51050667160 63813333950 81681067456 102101334320 127626667900 204202668640 255253335800 408405337280 510506671600 1021013343200 2042026686400