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1000924820392 = 23731587982231
BaseRepresentation
bin11101001000010111100…
…01001011001110101000
310112200120011122011120011
432210023301023032220
5112344343223223032
62043452444341304
7132212564411260
oct16441361131650
93480504564504
101000924820392
11356542a70172
12141b9b844834
1373504a72743
14366331c47a0
151b082a47247
hexe90bc4b3a8

1000924820392 has 64 divisors (see below), whose sum is σ = 2217801277440. Its totient is φ = 414422481600.

The previous prime is 1000924820369. The next prime is 1000924820447. The reversal of 1000924820392 is 2930284290001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527917 + ... + 1510147.

It is an arithmetic number, because the mean of its divisors is an integer number (34653144960).

Almost surely, 21000924820392 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 1000924820392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108900638720).

1000924820392 is an abundant number, since it is smaller than the sum of its proper divisors (1216876457048).

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

1000924820392 is a wasteful number, since it uses less digits than its factorization.

1000924820392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982862 (or 982858 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 1000924820392 in words is "one trillion, nine hundred twenty-four million, eight hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 587 868 1174 1736 2348 4109 4696 8218 16436 18197 32872 36394 72788 127379 145576 254758 509516 982231 1019032 1964462 3928924 6875617 7857848 13751234 27502468 30449161 55004936 60898322 121796644 213144127 243593288 426288254 576569597 852576508 1153139194 1705153016 2306278388 4035987179 4612556776 8071974358 16143948716 17873657507 32287897432 35747315014 71494630028 125115602549 142989260056 250231205098 500462410196 1000924820392