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10000154891392 = 2717231091833131
BaseRepresentation
bin1001000110000101011110…
…1011100001010010000000
31022102000010222200112212121
42101201113223201102000
52302320304123011032
633134001400534024
72051326106035561
oct221412753412200
938360128615777
1010000154891392
113206050807236
12115611b781314
1357701a27a933
1426801d92c168
151251d883ba97
hex91857ae1480

10000154891392 has 128 divisors (see below), whose sum is σ = 22213160323200. Its totient is φ = 4460049285120.

The previous prime is 10000154891371. The next prime is 10000154891417. The reversal of 10000154891392 is 29319845100001.

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

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 15 ways as a sum of consecutive naturals, for example, 4538667 + ... + 6371797.

It is an arithmetic number, because the mean of its divisors is an integer number (173540315025).

Almost surely, 210000154891392 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 10000154891392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106580161600).

10000154891392 is an abundant number, since it is smaller than the sum of its proper divisors (12213005431808).

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

10000154891392 is a wasteful number, since it uses less digits than its factorization.

10000154891392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833294 (or 1833282 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

Adding to 10000154891392 its reverse (29319845100001), we get a palindrome (39319999991393).

The spelling of 10000154891392 in words is "ten trillion, one hundred fifty-four million, eight hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 109 128 136 184 218 272 368 391 436 544 736 782 872 1088 1472 1564 1744 1853 2176 2507 2944 3128 3488 3706 5014 6256 6976 7412 10028 12512 13952 14824 20056 25024 29648 40112 42619 50048 59296 80224 85238 118592 160448 170476 237184 320896 340952 681904 1363808 1833131 2727616 3666262 5455232 7332524 14665048 29330096 31163227 42162013 58660192 62326454 84324026 117320384 124652908 168648052 199811279 234640768 249305816 337296104 399622558 498611632 674592208 716754221 799245116 997223264 1349184416 1433508442 1598490232 1994446528 2698368832 2867016884 3196980464 3396791743 3988893056 4595659417 5396737664 5734033768 6393960928 6793583486 9191318834 11468067536 12787921856 13587166972 18382637668 22936135072 25575843712 27174333944 36765275336 45872270144 54348667888 73530550672 78126210089 91744540288 108697335776 147061101344 156252420178 217394671552 294122202688 312504840356 434789343104 588244405376 625009680712 1250019361424 2500038722848 5000077445696 10000154891392