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20307749113744 = 241072105292
BaseRepresentation
bin1001001111000010001000…
…01011000000111110010000
32122220101211221201022001121
410213201010023000332100
510130210232233114434
6111105130125412024
74164120645231511
oct447410413007620
978811757638047
1020307749113744
11651a516a53174
12233b94010a014
13b44021692841
14502c865daa08
152533b79d37b4
hex1278442c0f90

20307749113744 has 45 divisors (see below), whose sum is σ = 39721195207057. Its totient is φ = 10058023173632.

The previous prime is 20307749113733. The next prime is 20307749113763. The reversal of 20307749113744 is 44731194770302.

The square root of 20307749113744 is 4506412.

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., 16431575673744 + 3876173440000 = 4053588^2 + 1968800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20307749113691 and 20307749113700.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1928739072 + ... + 1928749600.

Almost surely, 220307749113744 is an apocalyptic number.

20307749113744 is the 4506412-nd square number.

It is an amenable number.

20307749113744 is a deficient number, since it is larger than the sum of its proper divisors (19413446093313).

20307749113744 is an frugal number, since it uses more digits than its factorization.

20307749113744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21280 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 20307749113744 in words is "twenty trillion, three hundred seven billion, seven hundred forty-nine million, one hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 107 214 428 856 1712 10529 11449 21058 22898 42116 45796 84232 91592 168464 183184 1126603 2253206 4506412 9012824 18025648 110859841 120546521 221719682 241093042 443439364 482186084 886878728 964372168 1773757456 1928744336 11862002987 23724005974 47448011948 94896023896 189792047792 1269234319609 2538468639218 5076937278436 10153874556872 20307749113744