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103377682576 = 2472114832
BaseRepresentation
bin110000001000111001…
…0100100000010010000
3100212211120100101200101
41200101302210002100
53143204141320301
6115254022302144
710316536542400
oct1402162440220
9325746311611
10103377682576
113a92a009003
1218050b87954
13999652039c
14500989c800
152a50a34701
hex1811ca4090

103377682576 has 45 divisors (see below), whose sum is σ = 233015655891. Its totient is φ = 44300862816.

The previous prime is 103377682571. The next prime is 103377682591. The reversal of 103377682576 is 675286773301.

It is a happy number.

The square root of 103377682576 is 321524.

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 (103377682571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8996931 + ... + 9008413.

Almost surely, 2103377682576 is an apocalyptic number.

103377682576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103377682576 is the 321524-th square number.

It is an amenable number.

103377682576 is an abundant number, since it is smaller than the sum of its proper divisors (129637973315).

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

103377682576 is an frugal number, since it uses more digits than its factorization.

103377682576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22988 (or 11492 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 103377682576 in words is "one hundred three billion, three hundred seventy-seven million, six hundred eighty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 11483 22966 45932 80381 91864 160762 183728 321524 562667 643048 1125334 1286096 2250668 4501336 9002672 131859289 263718578 527437156 923015023 1054874312 1846030046 2109748624 3692060092 6461105161 7384120184 12922210322 14768240368 25844420644 51688841288 103377682576