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1989408695296 = 21011240072
BaseRepresentation
bin11100111100110001111…
…111111010010000000000
321001012000022102211021111
4130330301333322100000
5230043302111222141
64121531032333104
7263505254620501
oct34746177722000
97035008384244
101989408695296
116a7781387900
12281688b44194
131157a6204079
146c405da8ba8
1536b3826d381
hex1cf31ffa400

1989408695296 has 99 divisors (see below), whose sum is σ = 4372366578307. Its totient is φ = 904051005440.

The previous prime is 1989408695291. The next prime is 1989408695297. The reversal of 1989408695296 is 6925968049891.

The square root of 1989408695296 is 1410464.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1989408695291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 496481325 + ... + 496485331.

Almost surely, 21989408695296 is an apocalyptic number.

1989408695296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1989408695296 is the 1410464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989408695296

1989408695296 is an abundant number, since it is smaller than the sum of its proper divisors (2382957883011).

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

1989408695296 is an frugal number, since it uses more digits than its factorization.

1989408695296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 76.

The spelling of 1989408695296 in words is "one trillion, nine hundred eighty-nine billion, four hundred eight million, six hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 4007 5632 7744 8014 11264 15488 16028 30976 32056 44077 61952 64112 88154 123904 128224 176308 256448 352616 484847 512896 705232 969694 1025792 1410464 1939388 2051584 2820928 3878776 4103168 5641856 7757552 11283712 15515104 16056049 22567424 31030208 32112098 45134848 62060416 64224196 124120832 128448392 176616539 248241664 256896784 353233078 496483328 513793568 706466156 1027587136 1412932312 1942781929 2055174272 2825864624 3885563858 4110348544 5651729248 7771127716 8220697088 11303458496 15542255432 16441394176 22606916992 31084510864 45213833984 62169021728 90427667968 124338043456 180855335936 248676086912 497352173824 994704347648 1989408695296