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104241162496 = 2817211872
BaseRepresentation
bin110000100010101000…
…0011110100100000000
3100222001202010201110011
41201011100132210000
53201441214144441
6115515425514304
710350123155512
oct1410520364400
9328052121404
10104241162496
1140232467279
12182521a2994
139aa339b153
14508c42dbb2
152aa174a581
hex184541e900

104241162496 has 81 divisors (see below), whose sum is σ = 221221199689. Its totient is φ = 49013338112.

The previous prime is 104241162491. The next prime is 104241162497. The reversal of 104241162496 is 694261142401.

The square root of 104241162496 is 322864.

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., 81156614400 + 23084548096 = 284880^2 + 151936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104241162491) 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, 87818415 + ... + 87819601.

Almost surely, 2104241162496 is an apocalyptic number.

104241162496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104241162496 is the 322864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104241162496

104241162496 is an abundant number, since it is smaller than the sum of its proper divisors (116980037193).

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

104241162496 is an frugal number, since it uses more digits than its factorization.

104241162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 104241162496 in words is "one hundred four billion, two hundred forty-one million, one hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 1187 2176 2312 2374 4352 4624 4748 9248 9496 18496 18992 20179 36992 37984 40358 73984 75968 80716 151936 161432 303872 322864 343043 645728 686086 1291456 1372172 1408969 2582912 2744344 2817938 5165824 5488688 5635876 10977376 11271752 21954752 22543504 23952473 43909504 45087008 47904946 87819008 90174016 95809892 180348032 191619784 360696064 383239568 407192041 766479136 814384082 1532958272 1628768164 3065916544 3257536328 6131833088 6515072656 13030145312 26060290624 52120581248 104241162496