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73346002242320 = 24513922032994037
BaseRepresentation
bin10000101011010100110010…
…011010001100101100010000
3100121200210212000011010001102
4100223110302122030230100
534103200103033223240
6415554404355523532
721310034211311153
oct2053246232145420
9317623760133042
1073346002242320
1121408957159685
128286b438b95a8
1331c0662aba322
141417d732a1c9a
15872d7030c815
hex42b53268cb10

73346002242320 has 80 divisors (see below), whose sum is σ = 171834307942080. Its totient is φ = 29114101873152.

The previous prime is 73346002242283. The next prime is 73346002242377. The reversal of 73346002242320 is 2324220064337.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23000342 + ... + 25994378.

It is an arithmetic number, because the mean of its divisors is an integer number (2147928849276).

Almost surely, 273346002242320 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 73346002242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85917153971040).

73346002242320 is an abundant number, since it is smaller than the sum of its proper divisors (98488305699760).

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

73346002242320 is a wasteful number, since it uses less digits than its factorization.

73346002242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996392 (or 2996386 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 38.

The spelling of 73346002242320 in words is "seventy-three trillion, three hundred forty-six billion, two million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2203 2224 2780 4406 5560 8812 11015 11120 17624 22030 35248 44060 88120 176240 306217 612434 1224868 1531085 2449736 2994037 3062170 4899472 5988074 6124340 11976148 12248680 14970185 23952296 24497360 29940370 47904592 59880740 119761480 239522960 416171143 832342286 1664684572 2080855715 3329369144 4161711430 6595863511 6658738288 8323422860 13191727022 16646845720 26383454044 32979317555 33293691440 52766908088 65958635110 105533816176 131917270220 263834540440 527669080880 916825028029 1833650056058 3667300112116 4584125140145 7334600224232 9168250280290 14669200448464 18336500560580 36673001121160 73346002242320