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128008992448 = 26194713991601
BaseRepresentation
bin111011100110111101…
…1100011011011000000
3110020102011111120201101
41313031323203123000
54044130300224243
6134450112544144
712151116324421
oct1671573433300
9406364446641
10128008992448
114a319814747
1220985b52054
13c0c055855c
1462a4cb1648
1534e317a54d
hex1dcdee36c0

128008992448 has 112 divisors (see below), whose sum is σ = 273442176000. Its totient is φ = 59266252800.

The previous prime is 128008992409. The next prime is 128008992473. The reversal of 128008992448 is 844299800821.

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, 79954848 + ... + 79956448.

It is an arithmetic number, because the mean of its divisors is an integer number (2441448000).

Almost surely, 2128008992448 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 128008992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136721088000).

128008992448 is an abundant number, since it is smaller than the sum of its proper divisors (145433183552).

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

128008992448 is a wasteful number, since it uses less digits than its factorization.

128008992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 128008992448 in words is "one hundred twenty-eight billion, eight million, nine hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 893 1216 1399 1504 1601 1786 2798 3008 3202 3572 5596 6404 7144 11192 12808 14288 22384 25616 26581 28576 30419 44768 51232 53162 57152 60838 65753 75247 89536 102464 106324 121676 131506 150494 212648 243352 263012 300988 425296 486704 526024 601976 850592 973408 1052048 1203952 1249307 1429693 1701184 1946816 2104096 2239799 2407904 2498614 2859386 4208192 4479598 4815808 4997228 5718772 8959196 9994456 11437544 17918392 19988912 22875088 35836784 39977824 42556181 45750176 71673568 79955648 85112362 91500352 105270553 143347136 170224724 210541106 340449448 421082212 680898896 842164424 1361797792 1684328848 2000140507 2723595584 3368657696 4000281014 6737315392 8000562028 16001124056 32002248112 64004496224 128008992448