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11996441184720 = 2435291723626607
BaseRepresentation
bin1010111010010010001110…
…0111011000100111010000
31120110211220121112120000010
42232210203213120213100
53033022202420402340
641303031120154520
72345466665411526
oct256444347304720
946424817476003
1011996441184720
113905731336253
121418ba7a68a40
1369034b2cc625
142d68b90b0316
1515c0c5796b80
hexae9239d89d0

11996441184720 has 80 divisors (see below), whose sum is σ = 38471345890560. Its totient is φ = 3088738877952.

The previous prime is 11996441184709. The next prime is 11996441184727. The reversal of 11996441184720 is 2748114469911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×119964411847202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996441184727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861806344 + ... + 861820263.

It is an arithmetic number, because the mean of its divisors is an integer number (480891823632).

Almost surely, 211996441184720 is an apocalyptic number.

11996441184720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11996441184720 is an abundant number, since it is smaller than the sum of its proper divisors (26474904705840).

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

11996441184720 is a wasteful number, since it uses less digits than its factorization.

11996441184720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723626652 (or 1723626646 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 11996441184720 in words is "eleven trillion, nine hundred ninety-six billion, four hundred forty-one million, one hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1723626607 3447253214 5170879821 6894506428 8618133035 10341759642 13789012856 17236266070 20683519284 25854399105 27578025712 34472532140 41367038568 49985171603 51708798210 68945064280 82734077136 99970343206 103417596420 137890128560 149955514809 199940686412 206835192840 249925858015 299911029618 399881372824 413670385680 499851716030 599822059236 749777574045 799762745648 999703432060 1199644118472 1499555148090 1999406864120 2399288236944 2999110296180 3998813728240 5998220592360 11996441184720