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2026156041 = 327132474049
BaseRepresentation
bin111100011000100…
…1011000000001001
312020012120101120100
41320301023000021
513122143443131
6533015320013
7101132020320
oct17061130011
95205511510
102026156041
1194a792028
12486680009
13263a04800
141531470b7
15bcd2c7e6
hex78c4b009

2026156041 has 72 divisors (see below), whose sum is σ = 3699820800. Its totient is φ = 1045744128.

The previous prime is 2026156003. The next prime is 2026156073. The reversal of 2026156041 is 1406516202.

2026156041 is a `hidden beast` number, since 2 + 0 + 2 + 61 + 560 + 41 = 666.

It is not a de Polignac number, because 2026156041 - 26 = 2026155977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2026155996 and 2026156014.

It is not an unprimeable number, because it can be changed into a prime (2026156091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 498385 + ... + 502433.

It is an arithmetic number, because the mean of its divisors is an integer number (51386400).

Almost surely, 22026156041 is an apocalyptic number.

2026156041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2026156041 is a deficient number, since it is larger than the sum of its proper divisors (1673664759).

2026156041 is a wasteful number, since it uses less digits than its factorization.

2026156041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2026156041 is about 45012.8430672847. The cubic root of 2026156041 is about 1265.3897034477.

The spelling of 2026156041 in words is "two billion, twenty-six million, one hundred fifty-six thousand, forty-one".

Divisors: 1 3 7 9 13 21 39 47 63 91 117 141 169 273 329 423 507 611 819 987 1183 1521 1833 2961 3549 4049 4277 5499 7943 10647 12147 12831 23829 28343 36441 38493 52637 55601 71487 85029 157911 166803 190303 255087 368459 473733 500409 570909 684281 1105377 1332121 1712727 2052843 2473939 3316131 3996363 4789967 6158529 7421817 11989089 14369901 17317573 22265451 32161207 43109703 51952719 96483621 155858157 225128449 289450863 675385347 2026156041