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10312377204096 = 273511377311159
BaseRepresentation
bin1001011000010000100110…
…0101000111110110000000
31100111212001022001101200000
42112010021211013312000
52322424222031012341
633533235104400000
72113021214643042
oct226041145076600
940455038041600
1010312377204096
1133165000a7a10
1211a6736316000
1359a5b730b326
1427919bddba92
1512d3ae0318b6
hex96109947d80

10312377204096 has 768 divisors, whose sum is σ = 34954437772800. Its totient is φ = 2998584852480.

The previous prime is 10312377204079. The next prime is 10312377204097. The reversal of 10312377204096 is 69040277321301.

10312377204096 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 237 + 7 + 2 + 0 + 409 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312377204097) 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 95 ways as a sum of consecutive naturals, for example, 924125365 + ... + 924136523.

It is an arithmetic number, because the mean of its divisors is an integer number (45513590850).

Almost surely, 210312377204096 is an apocalyptic number.

10312377204096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312377204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477218886400).

10312377204096 is an abundant number, since it is smaller than the sum of its proper divisors (24642060568704).

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

10312377204096 is a wasteful number, since it uses less digits than its factorization.

10312377204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10312377204096 in words is "ten trillion, three hundred twelve billion, three hundred seventy-seven million, two hundred four thousand, ninety-six".