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9942405964596 = 22337113116383457
BaseRepresentation
bin1001000010101110010110…
…0100110110001100110100
31022012111002100220010001000
42100223211210312030310
52300344021411331341
633051251145003300
72044213042204530
oct220534544661464
938174070803030
109942405964596
113193606a72856
121146aa3783530
13571745cc4b31
1426530200cbc0
15123958a438b6
hex90ae5936334

9942405964596 has 96 divisors (see below), whose sum is σ = 29719679834880. Its totient is φ = 2815548567552.

The previous prime is 9942405964583. The next prime is 9942405964619. The reversal of 9942405964596 is 6954695042499.

9942405964596 is a `hidden beast` number, since 9 + 9 + 4 + 2 + 405 + 96 + 45 + 96 = 666.

It is a super-3 number, since 3×99424059645963 (a number of 40 digits) contains 333 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, 58106301 + ... + 58277156.

It is an arithmetic number, because the mean of its divisors is an integer number (309579998280).

Almost surely, 29942405964596 is an apocalyptic number.

It is an amenable number.

9942405964596 is an abundant number, since it is smaller than the sum of its proper divisors (19777273870284).

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

9942405964596 is a wasteful number, since it uses less digits than its factorization.

9942405964596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116383590 (or 116383582 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 9942405964596 in words is "nine trillion, nine hundred forty-two billion, four hundred five million, nine hundred sixty-four thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 3051 3164 4068 4746 6102 7119 9492 12204 14238 21357 28476 42714 85428 116383457 232766914 349150371 465533828 698300742 814684199 1047451113 1396601484 1629368398 2094902226 2444052597 3142353339 3258736796 4189804452 4888105194 6284706678 7332157791 9776210388 12569413356 13151330641 14664315582 21996473373 26302661282 29328631164 39453991923 43992946746 52605322564 78907983846 87985893492 92059314487 118361975769 157815967692 184118628974 236723951538 276177943461 355085927307 368237257948 473447903076 552355886922 710171854614 828533830383 1104711773844 1420343709228 1657067660766 2485601491149 3314135321532 4971202982298 9942405964596