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119268003904 = 26748812
BaseRepresentation
bin110111100010011101…
…1010101000001000000
3102101211222210100121221
41233010323111001000
53423230102111104
6130442503124424
711421400210000
oct1570473250100
9371758710557
10119268003904
1146643751675
121b146743714
13b32965459a
145ab6040000
153180ab2c54
hex1bc4ed5040

119268003904 has 105 divisors (see below), whose sum is σ = 276415175261. Its totient is φ = 51056839680.

The previous prime is 119268003863. The next prime is 119268003931. The reversal of 119268003904 is 409300862911.

It is a happy number.

The square root of 119268003904 is 345352.

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., 20923043904 + 98344960000 = 144648^2 + 313600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 135377544 + ... + 135378424.

Almost surely, 2119268003904 is an apocalyptic number.

119268003904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

119268003904 is the 345352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119268003904

119268003904 is an abundant number, since it is smaller than the sum of its proper divisors (157147171357).

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

119268003904 is an frugal number, since it uses more digits than its factorization.

119268003904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 119268003904 in words is "one hundred nineteen billion, two hundred sixty-eight million, three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 881 1372 1568 1762 2401 2744 3136 3524 4802 5488 6167 7048 9604 10976 12334 14096 19208 21952 24668 28192 38416 43169 49336 56384 76832 86338 98672 153664 172676 197344 302183 345352 394688 604366 690704 776161 1208732 1381408 1552322 2115281 2417464 2762816 3104644 4230562 4834928 5433127 6209288 8461124 9669856 10866254 12418576 16922248 19339712 21732508 24837152 33844496 38031889 43465016 49674304 67688992 76063778 86930032 135377984 152127556 173860064 266223223 304255112 347720128 532446446 608510224 1064892892 1217020448 1863562561 2129785784 2434040896 3727125122 4259571568 7454250244 8519143136 14908500488 17038286272 29817000976 59634001952 119268003904