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5454131544 = 2333471075021
BaseRepresentation
bin1010001010001011…
…10111000101011000
3112002002220120221000
411011011313011120
542132224202134
62301112545000
7252105232101
oct50505670530
915062816830
105454131544
112349795834
1210826b2160
1368bc73c94
1439a5173a8
1521dc5de99
hex145177158

5454131544 has 128 divisors (see below), whose sum is σ = 15620428800. Its totient is φ = 1762381440.

The previous prime is 5454131531. The next prime is 5454131597. The reversal of 5454131544 is 4451314545.

5454131544 is a `hidden beast` number, since 5 + 45 + 41 + 31 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5454131499 and 5454131508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083754 + ... + 1088774.

It is an arithmetic number, because the mean of its divisors is an integer number (122034600).

Almost surely, 25454131544 is an apocalyptic number.

5454131544 is a gapful number since it is divisible by the number (54) 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 5454131544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810214400).

5454131544 is an abundant number, since it is smaller than the sum of its proper divisors (10166297256).

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

5454131544 is a wasteful number, since it uses less digits than its factorization.

5454131544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5180 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 5454131544 is about 73852.0923467981. The cubic root of 5454131544 is about 1760.2534440458.

The spelling of 5454131544 in words is "five billion, four hundred fifty-four million, one hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 107 108 141 188 214 216 282 321 376 423 428 564 642 846 856 963 1128 1269 1284 1692 1926 2538 2568 2889 3384 3852 5021 5029 5076 5778 7704 10042 10058 10152 11556 15063 15087 20084 20116 23112 30126 30174 40168 40232 45189 45261 60252 60348 90378 90522 120504 120696 135567 135783 180756 181044 235987 271134 271566 361512 362088 471974 537247 542268 543132 707961 943948 1074494 1084536 1086264 1415922 1611741 1887896 2123883 2148988 2831844 3223482 4247766 4297976 4835223 5663688 6371649 6446964 8495532 9670446 12743298 12893928 14505669 16991064 19340892 25250609 25486596 29011338 38681784 50501218 50973192 58022676 75751827 101002436 116045352 151503654 202004872 227255481 303007308 454510962 606014616 681766443 909021924 1363532886 1818043848 2727065772 5454131544