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54897064020 = 223251735175101
BaseRepresentation
bin110011001000000111…
…101011100001010100
312020200212111210120100
4303020013223201110
51344412122022040
641115214334100
73652254226221
oct631007534124
9166625453510
1054897064020
1121310a637a7
12a780aba330
13523b49a646
14292ac78948
151664766b30
hexcc81eb854

54897064020 has 144 divisors (see below), whose sum is σ = 176401160208. Its totient is φ = 13771468800.

The previous prime is 54897063997. The next prime is 54897064043. The reversal of 54897064020 is 2046079845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54897063997) and next prime (54897064043).

It can be written as a sum of positive squares in 8 ways, for example, as 11819844 + 54885244176 = 3438^2 + 234276^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10759470 + ... + 10764570.

It is an arithmetic number, because the mean of its divisors is an integer number (1225008057).

Almost surely, 254897064020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54897064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88200580104).

54897064020 is an abundant number, since it is smaller than the sum of its proper divisors (121504096188).

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

54897064020 is a wasteful number, since it uses less digits than its factorization.

54897064020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 54897064020 in words is "fifty-four billion, eight hundred ninety-seven million, sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3517 5101 7034 10202 10551 14068 15303 17585 20404 21102 25505 30606 31653 35170 42204 45909 51010 52755 59789 61212 63306 70340 76515 86717 91818 102020 105510 119578 126612 153030 158265 173434 179367 183636 211020 229545 239156 260151 298945 306060 316530 346868 358734 433585 459090 520302 538101 597890 633060 717468 780453 867170 896835 918180 1040604 1076202 1195780 1300755 1560906 1734340 1793670 2152404 2601510 2690505 3121812 3587340 3902265 5203020 5381010 7804530 10762020 15609060 17940217 35880434 53820651 71760868 89701085 107641302 161461953 179402170 215282604 269103255 304983689 322923906 358804340 538206510 609967378 645847812 807309765 914951067 1076413020 1219934756 1524918445 1614619530 1829902134 2744853201 3049836890 3229239060 3659804268 4574755335 5489706402 6099673780 9149510670 10979412804 13724266005 18299021340 27448532010 54897064020