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1375285146576 = 2431129365924547
BaseRepresentation
bin10100000000110101011…
…000011111001111010000
311212110211222122011020020
4110000311120133033100
5140013040444142301
62531444113343440
7201234563602545
oct24006530371720
94773758564206
101375285146576
114902896800a0
121a2658267b80
139c8c549a753
144a7c808abcc
1525b93515436
hex1403561f3d0

1375285146576 has 160 divisors (see below), whose sum is σ = 4010711155200. Its totient is φ = 402255920640.

The previous prime is 1375285146569. The next prime is 1375285146581. The reversal of 1375285146576 is 6756415825731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56014335 + ... + 56038881.

It is an arithmetic number, because the mean of its divisors is an integer number (25066944720).

Almost surely, 21375285146576 is an apocalyptic number.

1375285146576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375285146576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005355577600).

1375285146576 is an abundant number, since it is smaller than the sum of its proper divisors (2635426008624).

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

1375285146576 is a wasteful number, since it uses less digits than its factorization.

1375285146576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28257 (or 28251 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 60.

The spelling of 1375285146576 in words is "one trillion, three hundred seventy-five billion, two hundred eighty-five million, one hundred forty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3659 3828 5104 7318 7656 10977 14636 15312 21954 24547 29272 40249 43908 49094 58544 73641 80498 87816 98188 106111 120747 147282 160996 175632 196376 212222 241494 270017 294564 318333 321992 392752 424444 482988 540034 589128 636666 643984 711863 810051 848888 965976 1080068 1167221 1178256 1273332 1423726 1620102 1697776 1931952 2135589 2160136 2334442 2546664 2847452 3240204 3501663 4271178 4320272 4668884 5093328 5694904 6480408 7003326 7830493 8542356 9337768 11389808 12960816 14006652 15660986 17084712 18675536 23491479 28013304 31321972 34169424 46982958 56026608 62643944 89817473 93965916 125287888 179634946 187931832 269452419 359269892 375863664 538904838 718539784 987992203 1077809676 1437079568 1975984406 2155619352 2604706717 2963976609 3951968812 4311238704 5209413434 5927953218 7814120151 7903937624 10418826868 11855906436 15628240302 15807875248 20837653736 23711812872 28651773887 31256480604 41675307472 47423625744 57303547774 62512961208 85955321661 114607095548 125025922416 171910643322 229214191096 343821286644 458428382192 687642573288 1375285146576