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103376396484 = 223241213072
BaseRepresentation
bin110000001000110110…
…1101010000011000100
3100212211110221001111100
41200101231222003010
53143203324141414
6115253534540100
710316522605014
oct1402155520304
9325743831440
10103376396484
113a92930a819
1218050667630
13999618cb9a
145009645c44
152a5087d609
hex1811b6a0c4

103376396484 has 81 divisors (see below), whose sum is σ = 268046570701. Its totient is φ = 33592618560.

The previous prime is 103376396437. The next prime is 103376396489. The reversal of 103376396484 is 484693673301.

It is a happy number.

The square root of 103376396484 is 321522.

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

103376396484 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 76 + 3 + 96 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4981254084 + 98395142400 = 70578^2 + 313680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103376396484.

It is not an unprimeable number, because it can be changed into a prime (103376396489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79093759 + ... + 79095065.

Almost surely, 2103376396484 is an apocalyptic number.

103376396484 is the 321522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103376396484

103376396484 is an abundant number, since it is smaller than the sum of its proper divisors (164670174217).

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

103376396484 is an equidigital number, since it uses as much as digits as its factorization.

103376396484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 103376396484 in words is "one hundred three billion, three hundred seventy-six million, three hundred ninety-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1307 1476 1681 2614 3362 3921 5043 5228 6724 7842 10086 11763 15129 15684 20172 23526 30258 47052 53587 60516 107174 160761 214348 321522 482283 643044 964566 1708249 1929132 2197067 3416498 4394134 5124747 6591201 6832996 8788268 10249494 13182402 15374241 19773603 20498988 26364804 30748482 39547206 61496964 70038209 79094412 140076418 210114627 280152836 420229254 630343881 840458508 1260687762 2521375524 2871566569 5743133138 8614699707 11486266276 17229399414 25844099121 34458798828 51688198242 103376396484