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15355204000000 = 28563838801
BaseRepresentation
bin1101111101110010100101…
…1110101101100100000000
32000100221110120100011120021
43133130221132231210000
54003034424211000000
652354030000023224
73143243161316404
oct337345136554400
960327416304507
1015355204000000
114990118392077
12187bb36901b14
13874cb2ca4837
143b12a554d104
151b96564b911a
hexdf7297ad900

15355204000000 has 126 divisors (see below), whose sum is σ = 38312552991482. Its totient is φ = 6142080000000.

The previous prime is 15355203999977. The next prime is 15355204000013. The reversal of 15355204000000 is 40255351.

It can be written as a sum of positive squares in 7 ways, for example, as 14280780536064 + 1074423463936 = 3778992^2 + 1036544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2080600 + ... + 5919400.

Almost surely, 215355204000000 is an apocalyptic number.

15355204000000 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 15355204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156276495741).

15355204000000 is an abundant number, since it is smaller than the sum of its proper divisors (22957348991482).

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

15355204000000 is an frugal number, since it uses more digits than its factorization.

15355204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838847 (or 3838808 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 15355204000000 its reverse (40255351), we get a palindrome (15355244255351).

The spelling of 15355204000000 in words is "fifteen trillion, three hundred fifty-five billion, two hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 3838801 4000000 7677602 15355204 19194005 30710408 38388010 61420816 76776020 95970025 122841632 153552040 191940050 245683264 307104080 383880100 479850125 491366528 614208160 767760200 959700250 982733056 1228416320 1535520400 1919400500 2399250625 2456832640 3071040800 3838801000 4798501250 4913665280 6142081600 7677602000 9597002500 11996253125 12284163200 15355204000 19194005000 23992506250 24568326400 30710408000 38388010000 47985012500 59981265625 61420816000 76776020000 95970025000 119962531250 122841632000 153552040000 191940050000 239925062500 307104080000 383880100000 479850125000 614208160000 767760200000 959700250000 1535520400000 1919400500000 3071040800000 3838801000000 7677602000000 15355204000000