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10010001009976 = 2311793833759461
BaseRepresentation
bin1001000110101010001010…
…0011011110110100111000
31022102221120011220012101021
42101222202203132310320
52303000440224304401
633142310405232224
72052125104463632
oct221524243366470
938387504805337
1010010001009976
11320a243678920
121158009102674
13577c2910a5c6
142686b5475a52
151255b2e502a1
hex91aa28ded38

10010001009976 has 64 divisors (see below), whose sum is σ = 20788321075200. Its totient is φ = 4480674806400.

The previous prime is 10010001009973. The next prime is 10010001010003. The reversal of 10010001009976 is 67990010001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001009973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782886 + ... + 4542346.

It is an arithmetic number, because the mean of its divisors is an integer number (324817516800).

Almost surely, 210010001009976 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 10010001009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394160537600).

10010001009976 is an abundant number, since it is smaller than the sum of its proper divisors (10778320065224).

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

10010001009976 is a wasteful number, since it uses less digits than its factorization.

10010001009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759940 (or 3759936 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The spelling of 10010001009976 in words is "ten trillion, ten billion, one million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 383 632 766 869 1532 1738 3064 3476 4213 6952 8426 16852 30257 33704 60514 121028 242056 332827 665654 1331308 2662616 3759461 7518922 15037844 30075688 41354071 82708142 165416284 296997419 330832568 593994838 1187989676 1439873563 2375979352 2879747126 3266971609 5759494252 6533943218 11518988504 13067886436 15838609193 26135772872 31677218386 63354436772 113750011477 126708873544 227500022954 455000045908 910000091816 1251250126247 2502500252494 5005000504988 10010001009976