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381833413248 = 2737940315107
BaseRepresentation
bin1011000111001110000…
…10111000001010000000
31100111120121221010220110
411203213002320022000
522223443323210443
6451224543111320
736405121314150
oct5434702701200
91314517833813
10381833413248
11137a31009941
12620032a2540
132a011a52221
14146a35b0760
159debad6233
hex58e70b8280

381833413248 has 128 divisors (see below), whose sum is σ = 1159337157120. Its totient is φ = 109076438016.

The previous prime is 381833413237. The next prime is 381833413337. The reversal of 381833413248 is 842314338183.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 381833413197 and 381833413206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25267711 + ... + 25282817.

It is an arithmetic number, because the mean of its divisors is an integer number (9057321540).

Almost surely, 2381833413248 is an apocalyptic number.

It is an amenable number.

381833413248 is an abundant number, since it is smaller than the sum of its proper divisors (777503743872).

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

381833413248 is a wasteful number, since it uses less digits than its factorization.

381833413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24534 (or 24522 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 381833413248 in words is "three hundred eighty-one billion, eight hundred thirty-three million, four hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 9403 15107 18806 28209 30214 37612 45321 56418 60428 65821 75224 90642 105749 112836 120856 131642 150448 181284 197463 211498 225672 241712 263284 300896 317247 362568 394926 422996 451344 483424 526568 601792 634494 725136 789852 845992 902688 966848 1053136 1203584 1268988 1450272 1579704 1691984 1805376 1933696 2106272 2537976 2900544 3159408 3383968 3610752 4212544 5075952 5801088 6318816 6767936 8425088 10151904 12637632 13535872 20303808 25275264 40607616 142051121 284102242 426153363 568204484 852306726 994357847 1136408968 1704613452 1988715694 2272817936 2983073541 3409226904 3977431388 4545635872 5966147082 6818453808 7954862776 9091271744 11932294164 13636907616 15909725552 18182543488 23864588328 27273815232 31819451104 47729176656 54547630464 63638902208 95458353312 127277804416 190916706624 381833413248