Search a number
-
+
1123552503456 = 25315177507761
BaseRepresentation
bin10000010110011000111…
…100101010011010100000
310222102002022020220120120
4100112120330222122200
5121402013420102311
62220053005240240
7144113451463245
oct20263074523240
93872068226516
101123552503456
113a3550108489
12161903563080
1381c48473256
143c5474d75cc
151e35d54a706
hex10598f2a6a0

1123552503456 has 48 divisors (see below), whose sum is σ = 2968857315648. Its totient is φ = 372037248000.

The previous prime is 1123552503413. The next prime is 1123552503457. The reversal of 1123552503456 is 6543052553211.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1123552503457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38739385 + ... + 38768376.

It is an arithmetic number, because the mean of its divisors is an integer number (61851194076).

Almost surely, 21123552503456 is an apocalyptic number.

1123552503456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1123552503456 is an abundant number, since it is smaller than the sum of its proper divisors (1845304812192).

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

1123552503456 is a wasteful number, since it uses less digits than its factorization.

1123552503456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77507925 (or 77507917 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 1123552503456 in words is "one trillion, one hundred twenty-three billion, five hundred fifty-two million, five hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 77507761 155015522 232523283 310031044 465046566 620062088 930093132 1240124176 1860186264 2480248352 3720372528 7440745056 11703671911 23407343822 35111015733 46814687644 70222031466 93629375288 140444062932 187258750576 280888125864 374517501152 561776251728 1123552503456