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94628379440 = 2457443381443
BaseRepresentation
bin101100000100001001…
…0100111101100110000
3100001020210222202010002
41120020102213230300
53022244331120230
6111245514325132
76556656645110
oct1301022475460
9301223882102
1094628379440
113714a287071
121640aa297a8
138c00997a3a
1448198a5040
1526dc878545
hex16084a7b30

94628379440 has 80 divisors (see below), whose sum is σ = 252009370368. Its totient is φ = 32370693888.

The previous prime is 94628379401. The next prime is 94628379463. The reversal of 94628379440 is 4497382649.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×946283794404 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 57359 + ... + 438801.

Almost surely, 294628379440 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 94628379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126004685184).

94628379440 is an abundant number, since it is smaller than the sum of its proper divisors (157380990928).

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

94628379440 is a wasteful number, since it uses less digits than its factorization.

94628379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381906 (or 381900 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 94628379440 in words is "ninety-four billion, six hundred twenty-eight million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 443 560 886 1772 2215 3101 3544 4430 6202 7088 8860 12404 15505 17720 24808 31010 35440 49616 62020 124040 248080 381443 762886 1525772 1907215 2670101 3051544 3814430 5340202 6103088 7628860 10680404 13350505 15257720 21360808 26701010 30515440 42721616 53402020 106804040 168979249 213608080 337958498 675916996 844896245 1182854743 1351833992 1689792490 2365709486 2703667984 3379584980 4731418972 5914273715 6759169960 9462837944 11828547430 13518339920 18925675888 23657094860 47314189720 94628379440