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190493776256 = 2771976914551
BaseRepresentation
bin1011000101101001010…
…0000101100110000000
3200012200211122111001112
42301122110011212000
511110112401320011
6223302302422452
716522420244660
oct2613224054600
9605624574045
10190493776256
1173873852643
1230b03b91a28
1314c6aa18004
1493117741a0
154e4db0058b
hex2c5a505980

190493776256 has 128 divisors (see below), whose sum is σ = 457165632000. Its totient is φ = 77237452800.

The previous prime is 190493776241. The next prime is 190493776261. The reversal of 190493776256 is 652677394091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 190493776195 and 190493776204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13084181 + ... + 13098731.

It is an arithmetic number, because the mean of its divisors is an integer number (3571606500).

Almost surely, 2190493776256 is an apocalyptic number.

190493776256 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 190493776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228582816000).

190493776256 is an abundant number, since it is smaller than the sum of its proper divisors (266671855744).

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

190493776256 is a wasteful number, since it uses less digits than its factorization.

190493776256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 59.

The spelling of 190493776256 in words is "one hundred ninety billion, four hundred ninety-three million, seven hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 769 896 1064 1216 1538 2128 2432 3076 4256 5383 6152 8512 10766 12304 14551 14611 17024 21532 24608 29102 29222 43064 49216 58204 58444 86128 98432 101857 102277 116408 116888 172256 203714 204554 232816 233776 276469 344512 407428 409108 465632 467552 552938 689024 814856 818216 931264 935104 1105876 1629712 1636432 1862528 1870208 1935283 2211752 3259424 3272864 3870566 4423504 6518848 6545728 7741132 8847008 11189719 13037696 13091456 15482264 17694016 22379438 30964528 35388032 44758876 61929056 78328033 89517752 123858112 156656066 179035504 212604661 247716224 313312132 358071008 425209322 626624264 716142016 850418644 1253248528 1432284032 1488232627 1700837288 2506497056 2976465254 3401674576 5012994112 5952930508 6803349152 10025988224 11905861016 13606698304 23811722032 27213396608 47623444064 95246888128 190493776256