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41961280704 = 263734989459
BaseRepresentation
bin100111000101000101…
…100101010011000000
311000022100112220211120
4213011011211103000
51141414041440304
631135435512240
73013561000230
oct470505452300
9130270486746
1041961280704
111688305a292
1281708b8680
133c594c0ca5
142060c67cc0
151158c9c0d9
hex9c51654c0

41961280704 has 112 divisors (see below), whose sum is σ = 127247904000. Its totient is φ = 11954451456.

The previous prime is 41961280703. The next prime is 41961280723. The reversal of 41961280704 is 40708216914.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (41961280703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424327 + ... + 513785.

It is an arithmetic number, because the mean of its divisors is an integer number (1136142000).

Almost surely, 241961280704 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 41961280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63623952000).

41961280704 is an abundant number, since it is smaller than the sum of its proper divisors (85286623296).

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

41961280704 is a wasteful number, since it uses less digits than its factorization.

41961280704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89830 (or 89820 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 41961280704 in words is "forty-one billion, nine hundred sixty-one million, two hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 349 448 672 698 1047 1344 1396 2094 2443 2792 4188 4886 5584 7329 8376 9772 11168 14658 16752 19544 22336 29316 33504 39088 58632 67008 78176 89459 117264 156352 178918 234528 268377 357836 469056 536754 626213 715672 1073508 1252426 1431344 1878639 2147016 2504852 2862688 3757278 4294032 5009704 5725376 7514556 8588064 10019408 15029112 17176128 20038816 30058224 31221191 40077632 60116448 62442382 93663573 120232896 124884764 187327146 218548337 249769528 374654292 437096674 499539056 655645011 749308584 874193348 999078112 1311290022 1498617168 1748386696 1998156224 2622580044 2997234336 3496773392 5245160088 5994468672 6993546784 10490320176 13987093568 20980640352 41961280704