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238661407896 = 233235314395669
BaseRepresentation
bin1101111001000101010…
…1000001010010011000
3211211000201112200211120
43132101111001102120
512402234310023041
6301350050125240
723146152331632
oct3362125012230
9754021480746
10238661407896
119224116317a
123a307280820
1319675c739b2
14b7a09a3a52
15631c696366
hex3791541498

238661407896 has 128 divisors (see below), whose sum is σ = 634894848000. Its totient is φ = 74594144768.

The previous prime is 238661407861. The next prime is 238661407903. The reversal of 238661407896 is 698704166832.

It is a super-2 number, since 2×2386614078962 (a number of 24 digits) 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 31 ways as a sum of consecutive naturals, for example, 42096550 + ... + 42102218.

It is an arithmetic number, because the mean of its divisors is an integer number (4960116000).

Almost surely, 2238661407896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238661407896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317447424000).

238661407896 is an abundant number, since it is smaller than the sum of its proper divisors (396233440104).

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

238661407896 is a wasteful number, since it uses less digits than its factorization.

238661407896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 238661407896 in words is "two hundred thirty-eight billion, six hundred sixty-one million, four hundred seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 1439 2438 2878 3657 4317 4876 5669 5756 7314 8634 9752 11338 11512 14628 17007 17268 22676 29256 33097 34014 34536 45352 66194 68028 76267 99291 130387 132388 136056 152534 198582 228801 260774 264776 300457 305068 391161 397164 457602 521548 600914 610136 782322 794328 901371 915204 1043096 1201828 1564644 1754141 1802742 1830408 2403656 3129288 3508282 3605484 5262423 6910511 7016564 7210968 8157691 10524846 13821022 14033128 16315382 20731533 21049692 24473073 27642044 32630764 41463066 42099384 48946146 55284088 65261528 82926132 97892292 165852264 187626893 195784584 375253786 432357623 562880679 750507572 864715246 1125761358 1297072869 1501015144 1729430492 2251522716 2594145738 3458860984 4503045432 5188291476 9944225329 10376582952 19888450658 29832675987 39776901316 59665351974 79553802632 119330703948 238661407896