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73025013152 = 2571371353201
BaseRepresentation
bin100010000000010100…
…0010100010110100000
320222111020110000210202
41010000220110112200
52144023400410102
653314111244332
75163425240660
oct1040050242640
9228436400722
1073025013152
1128a73797243
121219bb196a8
136b6a079070
14376a6901a0
151d75e95e02
hex1100a145a0

73025013152 has 96 divisors (see below), whose sum is σ = 179437918464. Its totient is φ = 28482048000.

The previous prime is 73025013029. The next prime is 73025013167. The reversal of 73025013152 is 25131052037.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30152 + ... + 383352.

It is an arithmetic number, because the mean of its divisors is an integer number (1869144984).

Almost surely, 273025013152 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 73025013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89718959232).

73025013152 is an abundant number, since it is smaller than the sum of its proper divisors (106412905312).

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

73025013152 is a wasteful number, since it uses less digits than its factorization.

73025013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353302 (or 353294 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

Adding to 73025013152 its reverse (25131052037), we get a palindrome (98156065189).

The spelling of 73025013152 in words is "seventy-three billion, twenty-five million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 71 91 104 112 142 182 208 224 284 364 416 497 568 728 923 994 1136 1456 1846 1988 2272 2912 3692 3976 6461 7384 7952 12922 14768 15904 25844 29536 51688 103376 206752 353201 706402 1412804 2472407 2825608 4591613 4944814 5651216 9183226 9889628 11302432 18366452 19779256 25077271 32141291 36732904 39558512 50154542 64282582 73465808 79117024 100309084 128565164 146931616 175540897 200618168 257130328 326004523 351081794 401236336 514260656 652009046 702163588 802472672 1028521312 1304018092 1404327176 2282031661 2608036184 2808654352 4564063322 5216072368 5617308704 9128126644 10432144736 18256253288 36512506576 73025013152