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73081648416 = 2537108752453
BaseRepresentation
bin100010000010000000…
…0010111010100100000
320222122012000101210010
41010010000113110200
52144132400222131
653323453204520
75165013522240
oct1040400272440
9228565011703
1073081648416
1128aa275a147
12121b6a90740
136b78a1865a
143773dd3b20
151d7ae31b46
hex1104017520

73081648416 has 48 divisors (see below), whose sum is σ = 219244947264. Its totient is φ = 20880470784.

The previous prime is 73081648411. The next prime is 73081648441. The reversal of 73081648416 is 61484618037.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73081648411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54375555 + ... + 54376898.

It is an arithmetic number, because the mean of its divisors is an integer number (4567603068).

Almost surely, 273081648416 is an apocalyptic number.

It is an amenable number.

73081648416 is an abundant number, since it is smaller than the sum of its proper divisors (146163298848).

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

73081648416 is a wasteful number, since it uses less digits than its factorization.

73081648416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108752473 (or 108752465 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 73081648416 in words is "seventy-three billion, eighty-one million, six hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 108752453 217504906 326257359 435009812 652514718 761267171 870019624 1305029436 1522534342 1740039248 2283801513 2610058872 3045068684 3480078496 4567603026 5220117744 6090137368 9135206052 10440235488 12180274736 18270412104 24360549472 36540824208 73081648416