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9937013944 = 23111317661773
BaseRepresentation
bin10010100000100101…
…01100110010111000
3221122112020121111111
421100102230302320
5130322333421234
64322012410104
7501151140064
oct112022546270
927575217444
109937013944
11423a204720
121b13a76934
13c24936310
146a3a48aa4
153d25ba664
hex2504accb8

9937013944 has 128 divisors (see below), whose sum is σ = 23241919680. Its totient is φ = 3913113600.

The previous prime is 9937013939. The next prime is 9937013969. The reversal of 9937013944 is 4493107399.

9937013944 = T477 + T478 + ... + T3908.

It is a super-2 number, since 2×99370139442 (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 12854742 + ... + 12855514.

Almost surely, 29937013944 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 9937013944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620959840).

9937013944 is an abundant number, since it is smaller than the sum of its proper divisors (13304905736).

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

9937013944 is a wasteful number, since it uses less digits than its factorization.

9937013944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 9937013944 is about 99684.5722466621. The cubic root of 9937013944 is about 2149.9018483406.

The spelling of 9937013944 in words is "nine billion, nine hundred thirty-seven million, thirteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 661 748 773 884 1144 1322 1496 1546 1768 2431 2644 3092 4862 5288 6184 7271 8503 8593 9724 10049 11237 13141 14542 17006 17186 19448 20098 22474 26282 29084 34012 34372 40196 44948 52564 58168 68024 68744 80392 89896 94523 105128 110539 123607 144551 146081 170833 189046 221078 247214 289102 292162 341666 378092 442156 494428 510953 578204 584324 683332 756184 884312 988856 1021906 1156408 1168648 1366664 1606891 1879163 2043812 3213782 3758326 4087624 5620483 6427564 6642389 7516652 8686201 11240966 12855128 13284778 15033304 17372402 22481932 26569556 34744804 44963864 53139112 69489608 73066279 95548211 112920613 146132558 191096422 225841226 292265116 382192844 451682452 584530232 764385688 903364904 1242126743 2484253486 4968506972 9937013944