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238169376676 = 227211231692
BaseRepresentation
bin1101110111010000000…
…0000100011110100100
3211202202102200220220001
43131310000010132210
512400232330023201
6301225152151044
723131026204400
oct3356400043644
9752672626801
10238169376676
1192009449900
123a1aa538484
13195c804ba6a
14b7554c4100
1562de3a4301
hex37740047a4

238169376676 has 81 divisors (see below), whose sum is σ = 533096806977. Its totient is φ = 92763982080.

The previous prime is 238169376649. The next prime is 238169376701. The reversal of 238169376676 is 676673961832.

The square root of 238169376676 is 488026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196846618276 + 41322758400 = 443674^2 + 203280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75154420 + ... + 75157588.

Almost surely, 2238169376676 is an apocalyptic number.

238169376676 is the 488026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238169376676

238169376676 is an abundant number, since it is smaller than the sum of its proper divisors (294927430301).

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

238169376676 is an equidigital number, since it uses as much as digits as its factorization.

238169376676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 3189 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 64.

Multiplying 238169376676 by its sum of digits (64), we get a square (15242840107264 = 39042082).

The spelling of 238169376676 in words is "two hundred thirty-eight billion, one hundred sixty-nine million, three hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3169 3388 5929 6338 11858 12676 22183 23716 34859 44366 69718 88732 139436 155281 244013 310562 383449 488026 621124 766898 976052 1533796 1708091 2684143 3416182 5368286 6832364 10042561 10736572 18789001 20085122 37578002 40170244 70297927 75156004 110468171 140595854 220936342 281191708 441872684 492085489 773277197 984170978 1215149881 1546554394 1968341956 2430299762 3093108788 4860599524 5412940379 8506049167 10825880758 17012098334 21651761516 34024196668 59542344169 119084688338 238169376676