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19650283242496 = 21083216692
BaseRepresentation
bin1000111011111001100000…
…01001110000010000000000
32120120112211000200111221121
410131330300021300100000
510033422240002224441
6105443114314202024
74065454223440324
oct435746011602000
976515730614847
1019650283242496
116296702676aa5
122254434123314
13ac70242c692a
144bd116279984
15241237b30dd1
hex11df30270400

19650283242496 has 99 divisors (see below), whose sum is σ = 39784185528861. Its totient is φ = 9700950503424.

The previous prime is 19650283242479. The next prime is 19650283242547. The reversal of 19650283242496 is 69424238205691.

The square root of 19650283242496 is 4432864.

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., 10482468176896 + 9167815065600 = 3237664^2 + 3027840^2 .

It is a super-2 number, since 2×196502832424962 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11773685950 + ... + 11773687618.

Almost surely, 219650283242496 is an apocalyptic number.

19650283242496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19650283242496 is the 4432864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19650283242496

19650283242496 is an abundant number, since it is smaller than the sum of its proper divisors (20133902286365).

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

19650283242496 is an frugal number, since it uses more digits than its factorization.

19650283242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

It can be divided in two parts, 1965028 and 3242496, that added together give a square (5207524 = 22822).

The spelling of 19650283242496 in words is "nineteen trillion, six hundred fifty billion, two hundred eighty-three million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 1669 2656 3338 5312 6676 6889 10624 13352 13778 21248 26704 27556 42496 53408 55112 84992 106816 110224 138527 213632 220448 277054 427264 440896 554108 854528 881792 1108216 1709056 1763584 2216432 2785561 3527168 4432864 5571122 7054336 8865728 11142244 11497741 17731456 22284488 22995482 35462912 44568976 45990964 70925824 89137952 91981928 141851648 178275904 183963856 231201563 356551808 367927712 462403126 713103616 735855424 924806252 1426207232 1471710848 1849612504 2852414464 2943421696 3699225008 5886843392 7398450016 11773686784 14796900032 19189729729 29593800064 38379459458 59187600128 76758918916 118375200256 153517837832 236750400512 307035675664 614071351328 1228142702656 2456285405312 4912570810624 9825141621248 19650283242496