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128472254020 = 225111926912341
BaseRepresentation
bin111011110100110001…
…0110000011001000100
3110021121110012201010101
41313221202300121010
54101102344112040
6135004102133444
712165443066305
oct1675142603104
9407543181111
10128472254020
114a537268a50
1220a95121284
13c165519526
14630a6227ac
15351db8809a
hex1de98b0644

128472254020 has 144 divisors (see below), whose sum is σ = 311206383936. Its totient is φ = 44175456000.

The previous prime is 128472254003. The next prime is 128472254059. The reversal of 128472254020 is 20452274821.

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 47 ways as a sum of consecutive naturals, for example, 54878050 + ... + 54880390.

It is an arithmetic number, because the mean of its divisors is an integer number (2161155444).

Almost surely, 2128472254020 is an apocalyptic number.

128472254020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128472254020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155603191968).

128472254020 is an abundant number, since it is smaller than the sum of its proper divisors (182734129916).

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

128472254020 is a wasteful number, since it uses less digits than its factorization.

128472254020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 128472254020 in words is "one hundred twenty-eight billion, four hundred seventy-two million, two hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 691 722 836 1045 1382 1444 1805 2090 2341 2764 3455 3610 3971 4180 4682 6910 7220 7601 7942 9364 11705 13129 13820 15202 15884 19855 23410 25751 26258 30404 38005 39710 44479 46820 51502 52516 65645 76010 79420 88958 103004 128755 131290 144419 152020 177916 222395 249451 257510 262580 288838 444790 489269 498902 515020 577676 722095 845101 889580 978538 997804 1247255 1444190 1617631 1690202 1957076 2446345 2494510 2743961 2888380 3235262 3380404 4225505 4892690 4989020 5487922 6470524 8088155 8451010 9296111 9785380 10975844 13719805 16176310 16902020 17793941 18592222 27439610 30734989 32352620 35587882 37184444 46480555 54879220 61469978 71175764 88969705 92961110 122939956 153674945 177939410 185922220 307349890 338084879 355878820 583964791 614699780 676169758 1167929582 1352339516 1690424395 2335859164 2919823955 3380848790 5839647910 6423612701 6761697580 11679295820 12847225402 25694450804 32118063505 64236127010 128472254020