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38681172880 = 2457438918049
BaseRepresentation
bin100100000001100100…
…111101101110010000
310200211202110011210121
4210001210331232100
51113204340013010
625434143440024
72536361354530
oct440144755620
9120752404717
1038681172880
111544a571779
1275b62b6014
133855a84c9c
141c2d3894c0
151015d283da
hex90193db90

38681172880 has 160 divisors (see below), whose sum is σ = 106359264000. Its totient is φ = 12807438336.

The previous prime is 38681172877. The next prime is 38681172917. The reversal of 38681172880 is 8827118683.

It is a happy 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, 2134096 + ... + 2152144.

It is an arithmetic number, because the mean of its divisors is an integer number (664745400).

Almost surely, 238681172880 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 38681172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53179632000).

38681172880 is an abundant number, since it is smaller than the sum of its proper divisors (67678091120).

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

38681172880 is a wasteful number, since it uses less digits than its factorization.

38681172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18201 (or 18195 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 38681172880 in words is "thirty-eight billion, six hundred eighty-one million, one hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 89 112 140 172 178 215 280 301 344 356 430 445 560 602 623 688 712 860 890 1204 1246 1424 1505 1720 1780 2408 2492 3010 3115 3440 3560 3827 4816 4984 6020 6230 7120 7654 9968 12040 12460 15308 18049 19135 24080 24920 26789 30616 36098 38270 49840 53578 61232 72196 76540 90245 107156 126343 133945 144392 153080 180490 214312 252686 267890 288784 306160 360980 428624 505372 535780 631715 721960 776107 1010744 1071560 1263430 1443920 1552214 1606361 2021488 2143120 2526860 3104428 3212722 3880535 5053720 5432749 6208856 6425444 7761070 8031805 10107440 10865498 11244527 12417712 12850888 15522140 16063610 21730996 22489054 25701776 27163745 31044280 32127220 43461992 44978108 54327490 56222635 62088560 64254440 69073523 86923984 89956216 108654980 112445270 128508880 138147046 179912432 217309960 224890540 276294092 345367615 434619920 449781080 483514661 552588184 690735230 899562160 967029322 1105176368 1381470460 1934058644 2417573305 2762940920 3868117288 4835146610 5525881840 7736234576 9670293220 19340586440 38681172880