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96937842001 = 71113307331953
BaseRepresentation
bin101101001000111110…
…0100001010101010001
3100021012202122121011111
41122101330201111101
53042012041421001
6112311014213321
710001132030110
oct1322174412521
9307182577144
1096937842001
1138124980510
1216954354241
1391ab2a3c30
1449984b7c77
1527c54b8851
hex1691f21551

96937842001 has 64 divisors (see below), whose sum is σ = 131110189056. Its totient is φ = 69215731200.

The previous prime is 96937841999. The next prime is 96937842013. The reversal of 96937842001 is 10024873969.

It is not a de Polignac number, because 96937842001 - 21 = 96937841999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96937842041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101718141 + ... + 101719093.

It is an arithmetic number, because the mean of its divisors is an integer number (2048596704).

It is a Poulet number, since it divides 296937842000-1.

Almost surely, 296937842001 is an apocalyptic number.

96937842001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

96937842001 is a deficient number, since it is larger than the sum of its proper divisors (34172347055).

96937842001 is a wasteful number, since it uses less digits than its factorization.

96937842001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622.

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 96937842001 in words is "ninety-six billion, nine hundred thirty-seven million, eight hundred forty-two thousand, one".

Divisors: 1 7 11 13 77 91 143 307 331 953 1001 2149 2317 3377 3641 3991 4303 6671 10483 12389 23639 25487 27937 30121 43901 47333 73381 86723 101617 136279 292571 307307 315443 331331 711319 953953 1117787 1321021 2047997 2208101 3218281 3469873 3803423 4100759 7824509 9247147 14531231 22527967 24289111 26623961 28705313 41837653 45108349 96841001 101718617 292863571 315758443 677887007 1065251011 1258933013 7456757077 8812531091 13848263143 96937842001