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41734480032 = 2532720701627
BaseRepresentation
bin100110110111100100…
…011010000010100000
310222201112210020210200
4212313210122002200
51140433011330112
631101134425200
73005135140620
oct466744320240
9128645706720
1041734480032
1116777031613
128108962200
133c21511ccb
14203caaa880
151143debcdc
hex9b791a0a0

41734480032 has 72 divisors (see below), whose sum is σ = 135637066656. Its totient is φ = 11924136576.

The previous prime is 41734480013. The next prime is 41734480091. The reversal of 41734480032 is 23008443714.

41734480032 is a `hidden beast` number, since 4 + 173 + 4 + 480 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10348798 + ... + 10352829.

It is an arithmetic number, because the mean of its divisors is an integer number (1883848148).

Almost surely, 241734480032 is an apocalyptic number.

41734480032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41734480032 is an abundant number, since it is smaller than the sum of its proper divisors (93902586624).

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

41734480032 is a wasteful number, since it uses less digits than its factorization.

41734480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701650 (or 20701639 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 41734480032 in words is "forty-one billion, seven hundred thirty-four million, four hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20701627 41403254 62104881 82806508 124209762 144911389 165613016 186314643 248419524 289822778 331226032 372629286 434734167 496839048 579645556 662452064 745258572 869468334 993678096 1159291112 1304202501 1490517144 1738936668 1987356192 2318582224 2608405002 2981034288 3477873336 4637164448 5216810004 5962068576 6955746672 10433620008 13911493344 20867240016 41734480032