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53154100000 = 25552918329
BaseRepresentation
bin110001100000001110…
…110011001100100000
312002012101211001102101
4301200032303030200
51332324422200000
640230232500144
73561131252401
oct614016631440
9162171731371
1053154100000
11205a7116071
12a37524a654
13502135a3a1
1428035ab9a8
1515b1727e6a
hexc603b3320

53154100000 has 144 divisors (see below), whose sum is σ = 135318292200. Its totient is φ = 20527360000.

The previous prime is 53154099961. The next prime is 53154100001. The reversal of 53154100000 is 145135.

It can be written as a sum of positive squares in 12 ways, for example, as 23996488464 + 29157611536 = 154908^2 + 170756^2 .

It is not an unprimeable number, because it can be changed into a prime (53154100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2890836 + ... + 2909164.

Almost surely, 253154100000 is an apocalyptic number.

53154100000 is a gapful number since it is divisible by the number (50) 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 53154100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67659146100).

53154100000 is an abundant number, since it is smaller than the sum of its proper divisors (82164192200).

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

53154100000 is an equidigital number, since it uses as much as digits as its factorization.

53154100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18393 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 53154100000 its reverse (145135), we get a palindrome (53154245135).

The spelling of 53154100000 in words is "fifty-three billion, one hundred fifty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 18329 20000 23200 25000 29000 36250 36658 50000 58000 72500 73316 90625 91645 100000 116000 145000 146632 181250 183290 290000 293264 362500 366580 458225 531541 580000 586528 725000 733160 916450 1063082 1450000 1466320 1832900 2126164 2291125 2657705 2900000 2932640 3665800 4252328 4582250 5315410 7331600 8504656 9164500 10630820 11455625 13288525 14663200 17009312 18329000 21261640 22911250 26577050 36658000 42523280 45822500 53154100 57278125 66442625 73316000 85046560 91645000 106308200 114556250 132885250 183290000 212616400 229112500 265770500 332213125 366580000 425232800 458225000 531541000 664426250 916450000 1063082000 1328852500 1661065625 1832900000 2126164000 2657705000 3322131250 5315410000 6644262500 10630820000 13288525000 26577050000 53154100000