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9373933409344 = 2672546732
BaseRepresentation
bin1000100001101000100111…
…1110001001010001000000
31020012010202112111012012121
42020122021332021101000
52212040303423044334
631534154153134024
71655146544210200
oct210321176112100
936163675435177
109373933409344
112a94510039119
1210748933ba314
1352cc5c01089a
142459b4dbc400
15113c8696adb4
hex88689f89440

9373933409344 has 63 divisors (see below), whose sum is σ = 21638758014117. Its totient is φ = 4017326552064.

The previous prime is 9373933409341. The next prime is 9373933409363. The reversal of 9373933409344 is 4439043393739.

The square root of 9373933409344 is 3061688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1232544040000 + 8141389369344 = 1110200^2 + 2853312^2 .

It is a super-3 number, since 3×93739334093443 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9373933409341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 171427192 + ... + 171481864.

Almost surely, 29373933409344 is an apocalyptic number.

9373933409344 is the 3061688-th square number.

It is an amenable number.

9373933409344 is an abundant number, since it is smaller than the sum of its proper divisors (12264824604773).

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

9373933409344 is an frugal number, since it uses more digits than its factorization.

9373933409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109372 (or 54682 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 61.

The spelling of 9373933409344 in words is "nine trillion, three hundred seventy-three billion, nine hundred thirty-three million, four hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 54673 109346 218692 382711 437384 765422 874768 1530844 1749536 2678977 3061688 3499072 5357954 6123376 10715908 12246752 21431816 24493504 42863632 85727264 171454528 2989136929 5978273858 11956547716 20923958503 23913095432 41847917006 47826190864 83695834012 95652381728 146467709521 167391668024 191304763456 292935419042 334783336048 585870838084 669566672096 1171741676168 1339133344192 2343483352336 4686966704672 9373933409344