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73056197632 = 2101115674139
BaseRepresentation
bin100010000001001111…
…1010001110000000000
320222120102010100212111
41010002133101300000
52144104341311012
653321143505104
75164254301555
oct1040237216000
9228512110774
1073056197632
1128a8a356640
12121aa458194
136b73677212
14377088aa2c
151d78aa5ba7
hex11027d1c00

73056197632 has 88 divisors (see below), whose sum is σ = 159457697280. Its totient is φ = 33178152960.

The previous prime is 73056197611. The next prime is 73056197633. The reversal of 73056197632 is 23679165037.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73056197633) 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, 17648619 + ... + 17652757.

Almost surely, 273056197632 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 73056197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79728848640).

73056197632 is an abundant number, since it is smaller than the sum of its proper divisors (86401499648).

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

73056197632 is a wasteful number, since it uses less digits than its factorization.

73056197632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

The spelling of 73056197632 in words is "seventy-three billion, fifty-six million, one hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1567 2816 3134 4139 5632 6268 8278 11264 12536 16556 17237 25072 33112 34474 45529 50144 66224 68948 91058 100288 132448 137896 182116 200576 264896 275792 364232 401152 529792 551584 728464 802304 1059584 1103168 1456928 1604608 2119168 2206336 2913856 4238336 4412672 5827712 6485813 8825344 11655424 12971626 17650688 23310848 25943252 46621696 51886504 71343943 103773008 142687886 207546016 285375772 415092032 570751544 830184064 1141503088 1660368128 2283006176 3320736256 4566012352 6641472512 9132024704 18264049408 36528098816 73056197632