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11554403405420 = 22543149648113913
BaseRepresentation
bin1010100000100011100000…
…0111000100111001101100
31111220120221020110201211102
42220020320013010321230
53003301404232433140
640324004124342232
72301530613316301
oct250107007047154
944816836421742
1011554403405420
113755216555097
1213673a23a4978
1365a763697885
142bd343c4d0a8
1515085353ee15
hexa82381c4e6c

11554403405420 has 96 divisors (see below), whose sum is σ = 25000819905600. Its totient is φ = 4482967265280.

The previous prime is 11554403405411. The next prime is 11554403405429. The reversal of 11554403405420 is 2450430445511.

It is an interprime number because it is at equal distance from previous prime (11554403405411) and next prime (11554403405429).

It is not an unprimeable number, because it can be changed into a prime (11554403405429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830468384 + ... + 830482296.

It is an arithmetic number, because the mean of its divisors is an integer number (260425207350).

Almost surely, 211554403405420 is an apocalyptic number.

11554403405420 is a gapful number since it is divisible by the number (10) 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 11554403405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500409952800).

11554403405420 is an abundant number, since it is smaller than the sum of its proper divisors (13446416500180).

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

11554403405420 is a wasteful number, since it uses less digits than its factorization.

11554403405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20595 (or 20593 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 11554403405420 in words is "eleven trillion, five hundred fifty-four billion, four hundred three million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 149 172 215 298 430 596 745 860 1490 2980 6407 6481 12814 12962 13913 25628 25924 27826 32035 32405 55652 64070 64810 69565 128140 129620 139130 278260 278683 557366 598259 965669 1114732 1196518 1393415 1931338 2073037 2393036 2786830 2991295 3862676 4146074 4828345 5573660 5982590 8292148 9656690 10365185 11965180 19313380 20730370 41460740 41523767 83047534 89140591 90170153 166095068 178281182 180340306 207618835 356562364 360680612 415237670 445702955 450850765 830475340 891405910 901701530 1782811820 1803403060 3877316579 7754633158 13435352797 15509266316 19386582895 26870705594 38773165790 53741411188 67176763985 77546331580 134353527970 268707055940 577720170271 1155440340542 2310880681084 2888600851355 5777201702710 11554403405420