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2037426144 = 253132314051
BaseRepresentation
bin111100101110000…
…1010011111100000
312020222202222020120
41321130022133200
513133040114034
6534101040240
7101326556625
oct17134123740
95228688216
102037426144
1195608a466
1248a3b6080
1326614c500
1415483c34c
15bdd06c49
hex7970a7e0

2037426144 has 144 divisors (see below), whose sum is σ = 5979585024. Its totient is φ = 606528000.

The previous prime is 2037426137. The next prime is 2037426163. The reversal of 2037426144 is 4416247302.

2037426144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20374261442 = 8302210584509417472, which contains 22 as substring.

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, 500919 + ... + 504969.

It is an arithmetic number, because the mean of its divisors is an integer number (41524896).

Almost surely, 22037426144 is an apocalyptic number.

2037426144 is a gapful number since it is divisible by the number (24) 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 2037426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989792512).

2037426144 is an abundant number, since it is smaller than the sum of its proper divisors (3942158880).

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

2037426144 is a wasteful number, since it uses less digits than its factorization.

2037426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2037426144 is about 45137.8571046522. The cubic root of 2037426144 is about 1267.7315290396.

The spelling of 2037426144 in words is "two billion, thirty-seven million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 169 186 208 248 312 338 372 403 416 496 507 624 676 744 806 992 1014 1209 1248 1352 1488 1612 2028 2418 2704 2976 3224 4051 4056 4836 5239 5408 6448 8102 8112 9672 10478 12153 12896 15717 16204 16224 19344 20956 24306 31434 32408 38688 41912 48612 52663 62868 64816 83824 97224 105326 125581 125736 129632 157989 167648 194448 210652 251162 251472 315978 376743 388896 421304 502324 502944 631956 684619 753486 842608 1004648 1263912 1369238 1506972 1632553 1685216 2009296 2053857 2527824 2738476 3013944 3265106 4018592 4107714 4897659 5055648 5476952 6027888 6530212 8215428 9795318 10953904 12055776 13060424 16430856 19590636 21223189 21907808 26120848 32861712 39181272 42446378 52241696 63669567 65723424 78362544 84892756 127339134 156725088 169785512 254678268 339571024 509356536 679142048 1018713072 2037426144