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73416746142 = 23417181147283
BaseRepresentation
bin100010001011111111…
…0101010010010011110
321000111112120010110000
41010113332222102132
52200324141334032
653421023355130
75206223021445
oct1042776522236
9230445503400
1073416746142
1129154926013
121228b152aa6
136c0028482c
1437a6701d5c
151d9a574e7c
hex1117faa49e

73416746142 has 80 divisors (see below), whose sum is σ = 175148365392. Its totient is φ = 22905296640.

The previous prime is 73416746131. The next prime is 73416746147. The reversal of 73416746142 is 24164761437.

73416746142 is a `hidden beast` number, since 73 + 416 + 74 + 61 + 42 = 666.

It is a super-2 number, since 2×734167461422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73416746147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424833 + ... + 572115.

Almost surely, 273416746142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73416746142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87574182696).

73416746142 is an abundant number, since it is smaller than the sum of its proper divisors (101731619250).

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

73416746142 is a wasteful number, since it uses less digits than its factorization.

73416746142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147495 (or 147486 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 73416746142 in words is "seventy-three billion, four hundred sixteen million, seven hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 181 306 362 459 543 918 1086 1377 1629 2754 3077 3258 4887 6154 9231 9774 14661 18462 27693 29322 55386 83079 147283 166158 249237 294566 441849 498474 883698 1325547 2503811 2651094 3976641 5007622 7511433 7953282 11929923 15022866 22534299 23859846 26658223 45068598 53316446 67602897 79974669 135205794 159949338 202808691 239924007 405617382 453189791 479848014 719772021 906379582 1359569373 1439544042 2159316063 2719138746 4078708119 4318632126 8157416238 12236124357 24472248714 36708373071 73416746142