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1923690496 = 2127132397
BaseRepresentation
bin111001010101001…
…0011000000000000
311222001202121021011
41302222103000000
512414431043441
6514515210304
765446046050
oct16252230000
94861677234
101923690496
118a7967162
124582a6994
13248709a00
141436b3560
15b3d3c581
hex72a93000

1923690496 has 156 divisors (see below), whose sum is σ = 4772666352. Its totient is φ = 759103488.

The previous prime is 1923690481. The next prime is 1923690497. The reversal of 1923690496 is 6940963291.

It is not an unprimeable number, because it can be changed into a prime (1923690497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4845370 + ... + 4845766.

Almost surely, 21923690496 is an apocalyptic number.

1923690496 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 1923690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386333176).

1923690496 is an abundant number, since it is smaller than the sum of its proper divisors (2848975856).

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

1923690496 is an equidigital number, since it uses as much as digits as its factorization.

1923690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The square root of 1923690496 is about 43859.8962151075. The cubic root of 1923690496 is about 1243.6888280613.

The spelling of 1923690496 in words is "one billion, nine hundred twenty-three million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 338 364 397 416 448 512 676 728 794 832 896 1024 1183 1352 1456 1588 1664 1792 2048 2366 2704 2779 2912 3176 3328 3584 4096 4732 5161 5408 5558 5824 6352 6656 7168 9464 10322 10816 11116 11648 12704 13312 14336 18928 20644 21632 22232 23296 25408 26624 28672 36127 37856 41288 43264 44464 46592 50816 53248 67093 72254 75712 82576 86528 88928 93184 101632 134186 144508 151424 165152 173056 177856 186368 203264 268372 289016 302848 330304 346112 355712 372736 406528 469651 536744 578032 605696 660608 692224 711424 813056 939302 1073488 1156064 1211392 1321216 1422848 1626112 1878604 2146976 2312128 2422784 2642432 2845696 3757208 4293952 4624256 4845568 5284864 5691392 7514416 8587904 9248512 10569728 11382784 15028832 17175808 18497024 21139456 30057664 34351616 36994048 60115328 68703232 73988096 120230656 137406464 147976192 240461312 274812928 480922624 961845248 1923690496