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103578410896 = 2461213192
BaseRepresentation
bin110000001110111000…
…0010001111110010000
3100220100120001110011121
41200131300101332100
53144112033122041
6115325552452024
710324524652222
oct1403560217620
9326316043147
10103578410896
113aa22349184
12180a824a014
1399c8ca103c
1450283d0412
152a634847d1
hex181dc11f90

103578410896 has 45 divisors (see below), whose sum is σ = 204181792113. Its totient is φ = 50901581760.

The previous prime is 103578410861. The next prime is 103578410899. The reversal of 103578410896 is 698014875301.

The square root of 103578410896 is 321836.

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., 3368177296 + 100210233600 = 58036^2 + 316560^2 .

It is a super-3 number, since 3×1035784108963 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103578410899) 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, 78527325 + ... + 78528643.

Almost surely, 2103578410896 is an apocalyptic number.

103578410896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103578410896 is the 321836-th square number.

It is an amenable number.

103578410896 is a deficient number, since it is larger than the sum of its proper divisors (100603381217).

103578410896 is an frugal number, since it uses more digits than its factorization.

103578410896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 103578410896 in words is "one hundred three billion, five hundred seventy-eight million, four hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 61 122 244 488 976 1319 2638 3721 5276 7442 10552 14884 21104 29768 59536 80459 160918 321836 643672 1287344 1739761 3479522 4907999 6959044 9815998 13918088 19631996 27836176 39263992 78527984 106125421 212250842 424501684 849003368 1698006736 6473650681 12947301362 25894602724 51789205448 103578410896