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9909626977936 = 2474160612
BaseRepresentation
bin1001000000110100001111…
…0010111011111010010000
31022002100110221110001122001
42100031003302323322100
52244324404001243221
633024230401323344
72041642536340000
oct220150362737220
938070427401561
109909626977936
1131807160a3a34
121140676036554
1356b620c7c23a
142638b2890000
15122b8ae81391
hex90343cbbe90

9909626977936 has 75 divisors (see below), whose sum is σ = 22399947889673. Its totient is φ = 4246718562240.

The previous prime is 9909626977909. The next prime is 9909626977967. The reversal of 9909626977936 is 6397796269099.

The square root of 9909626977936 is 3147956.

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., 99701851536 + 9809925126400 = 315756^2 + 3132080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9909626977936.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 616991346 + ... + 617007406.

Almost surely, 29909626977936 is an apocalyptic number.

9909626977936 is the 3147956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9909626977936

9909626977936 is an abundant number, since it is smaller than the sum of its proper divisors (12490320911737).

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

9909626977936 is an frugal number, since it uses more digits than its factorization.

9909626977936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32158 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 3749847696, while the sum is 82.

The spelling of 9909626977936 in words is "nine trillion, nine hundred nine billion, six hundred twenty-six million, nine hundred seventy-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 9604 16061 19208 32122 38416 64244 112427 128488 224854 256976 449708 786989 899416 1573978 1798832 3147956 5508923 6295912 11017846 12591824 22035692 38562461 44071384 77124922 88142768 154249844 257955721 308499688 515911442 616999376 1031822884 1805690047 2063645768 3611380094 4127291536 7222760188 12639830329 14445520376 25279660658 28891040752 50559321316 88478812303 101118642632 176957624606 202237285264 353915249212 619351686121 707830498424 1238703372242 1415660996848 2477406744484 4954813488968 9909626977936