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72342455551712 = 2571210919492111
BaseRepresentation
bin10000011100101110001010…
…010111011000011011100000
3100111010212112010000010200222
4100130232022113120123200
533440224322110123322
6413505355411302212
721144366326220233
oct2034561227303340
9314125463003628
1072342455551712
1121061299216625
128144551baa968
133149b30ab81b8
1413c1571bc541a
15856bd7514e42
hex41cb8a5d86e0

72342455551712 has 144 divisors (see below), whose sum is σ = 145927637856000. Its totient is φ = 35299742284800.

The previous prime is 72342455551631. The next prime is 72342455551753. The reversal of 72342455551712 is 21715555424327.

It is a super-2 number, since 2×723424555517122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34269281537 + ... + 34269283647.

It is an arithmetic number, because the mean of its divisors is an integer number (1013386374000).

Almost surely, 272342455551712 is an apocalyptic number.

It is an amenable number.

72342455551712 is an abundant number, since it is smaller than the sum of its proper divisors (73585182304288).

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

72342455551712 is a wasteful number, since it uses less digits than its factorization.

72342455551712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4242 counting only the distinct ones).

The product of its digits is 11760000, while the sum is 53.

The spelling of 72342455551712 in words is "seventy-two trillion, three hundred forty-two billion, four hundred fifty-five million, five hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 71 109 142 218 284 436 568 872 1136 1744 1949 2111 2272 3488 3898 4222 5041 7739 7796 8444 10082 15478 15592 16888 20164 30956 31184 33776 40328 61912 62368 67552 80656 123824 138379 149881 161312 212441 230099 247648 276758 299762 424882 460198 549469 553516 599524 849764 920396 1098938 1107032 1199048 1699528 1840792 2197876 2214064 2398096 3399056 3681584 4114339 4395752 4428128 4796192 6798112 7363168 8228678 8791504 9824909 10641551 15083311 16337029 16457356 17583008 19649818 21283102 30166622 32674058 32914712 39299636 42566204 60333244 65348116 65829424 78599272 85132408 120666488 130696232 131658848 157198544 170264816 241332976 261392464 292118069 314397088 340529632 448462951 482665952 522784928 584236138 896925902 1070915081 1159929059 1168472276 1793851804 2141830162 2319858118 2336944552 3587703608 4283660324 4639716236 4673889104 7175407216 8567320648 9279432472 9347778208 14350814432 17134641296 18558864944 20740382899 31840869521 34269282592 37117729888 41480765798 63681739042 82961531596 127363478084 165923063192 254726956168 331846126384 509453912336 663692252768 1018907824672 2260701735991 4521403471982 9042806943964 18085613887928 36171227775856 72342455551712