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42889199680 = 265298951929
BaseRepresentation
bin100111111100011001…
…010100000001000000
311002201000121002101001
4213330121110001000
51200314113342210
631411504221344
73045556116325
oct477431240100
9132630532331
1042889199680
1117209920578
12838b60a854
134076811382
14210c1b0b4c
1511b049103a
hex9fc654040

42889199680 has 112 divisors (see below), whose sum is σ = 106840782000. Its totient is φ = 16377675776.

The previous prime is 42889199657. The next prime is 42889199711. The reversal of 42889199680 is 8699198824.

It can be written as a sum of positive squares in 8 ways, for example, as 275029056 + 42614170624 = 16584^2 + 206432^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 799956 + ... + 851884.

Almost surely, 242889199680 is an apocalyptic number.

42889199680 is a gapful number since it is divisible by the number (40) 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 42889199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53420391000).

42889199680 is an abundant number, since it is smaller than the sum of its proper divisors (63951582320).

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

42889199680 is a wasteful number, since it uses less digits than its factorization.

42889199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52064 (or 52054 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 64.

The spelling of 42889199680 in words is "forty-two billion, eight hundred eighty-nine million, one hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 89 116 145 160 178 232 290 320 356 445 464 580 712 890 928 1160 1424 1780 1856 2320 2581 2848 3560 4640 5162 5696 7120 9280 10324 12905 14240 20648 25810 28480 41296 51620 51929 82592 103240 103858 165184 206480 207716 259645 412960 415432 519290 825920 830864 1038580 1505941 1661728 2077160 3011882 3323456 4154320 4621681 6023764 7529705 8308640 9243362 12047528 15059410 16617280 18486724 23108405 24095056 30118820 36973448 46216810 48190112 60237640 73946896 92433620 96380224 120475280 134028749 147893792 184867240 240950560 268057498 295787584 369734480 481901120 536114996 670143745 739468960 1072229992 1340287490 1478937920 2144459984 2680574980 4288919968 5361149960 8577839936 10722299920 21444599840 42889199680