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38257020671076 = 2232792130492
BaseRepresentation
bin10001011001011011010000…
…01000001001010001100100
312000110100001112211001122100
420230231220020021101210
520003300334242433301
6213211011020132100
711025656431150134
oct1054555010112144
9160410045731570
1038257020671076
111120a7908a0639
12435a572997030
131846810784c1c
14963914a18ac4
154652460a7286
hex22cb68209464

38257020671076 has 81 divisors (see below), whose sum is σ = 97952365399161. Its totient is φ = 12589953300288.

The previous prime is 38257020671053. The next prime is 38257020671137. The reversal of 38257020671076 is 67017602075283.

It is a happy number.

The square root of 38257020671076 is 6185226.

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

38257020671076 is a `hidden beast` number, since 3 + 8 + 2 + 570 + 2 + 0 + 67 + 1 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21794201317476 + 16462819353600 = 4668426^2 + 4057440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2931790600 + ... + 2931803648.

Almost surely, 238257020671076 is an apocalyptic number.

38257020671076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38257020671076 is the 6185226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38257020671076

38257020671076 is an abundant number, since it is smaller than the sum of its proper divisors (59695344728085).

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

38257020671076 is an frugal number, since it uses more digits than its factorization.

38257020671076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26266 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 38257020671076 in words is "thirty-eight trillion, two hundred fifty-seven billion, twenty million, six hundred seventy-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 6241 12482 13049 18723 24964 26098 37446 39147 52196 56169 74892 78294 112338 117441 156588 224676 234882 469764 1030871 2061742 3092613 4123484 6185226 9277839 12370452 18555678 37111356 81438809 162877618 170276401 244316427 325755236 340552802 488632854 510829203 681105604 732949281 977265708 1021658406 1465898562 1532487609 2043316812 2931797124 3064975218 6129950436 13451835679 26903671358 40355507037 53807342716 80711014074 121066521111 161422028148 242133042222 484266084444 1062695018641 2125390037282 3188085055923 4250780074564 6376170111846 9564255167769 12752340223692 19128510335538 38257020671076