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352125000520000 = 26548998911517
BaseRepresentation
bin101000000010000010111110…
…1100100101001000101000000
31201011202211011201111001022221
41100010011331210221011000
5332123204000113120000
63244523554141340424
7134112122525463211
oct12004057544510500
91634684151431287
10352125000520000
11a221a412a06174
12335b0226267714
1312163325557996
1462d4d25dd1408
152aa98a545c61a
hex140417d929140

352125000520000 has 140 divisors (see below), whose sum is σ = 882966306227940. Its totient is φ = 139267414528000.

The previous prime is 352125000519979. The next prime is 352125000520001. The reversal of 352125000520000 is 25000521253.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 336373500078144 + 15751500441856 = 18340488^2 + 3968816^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352125000520001) 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 19 ways as a sum of consecutive naturals, for example, 45895759 + ... + 53015758.

Almost surely, 2352125000520000 is an apocalyptic number.

It is an amenable number.

352125000520000 is an abundant number, since it is smaller than the sum of its proper divisors (530841305707940).

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

352125000520000 is an frugal number, since it uses more digits than its factorization.

352125000520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98911638 (or 98911613 counting only the distinct ones).

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

The spelling of 352125000520000 in words is "three hundred fifty-two trillion, one hundred twenty-five billion, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 250 320 356 400 445 500 625 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3560 4000 4450 5000 5696 7120 8000 8900 10000 11125 14240 17800 20000 22250 28480 35600 40000 44500 55625 71200 89000 111250 142400 178000 222500 356000 445000 712000 890000 1780000 3560000 98911517 197823034 395646068 494557585 791292136 989115170 1582584272 1978230340 2472787925 3165168544 3956460680 4945575850 6330337088 7912921360 8803125013 9891151700 12363939625 15825842720 17606250026 19782303400 24727879250 31651685440 35212500052 39564606800 44015625065 49455758500 61819698125 70425000104 79129213600 88031250130 98911517000 123639396250 140850000208 158258427200 176062500260 197823034000 220078125325 247278792500 281700000416 352125000520 395646068000 440156250650 494557585000 563400000832 704250001040 791292136000 880312501300 989115170000 1100390626625 1408500002080 1760625002600 1978230340000 2200781253250 2817000004160 3521250005200 3956460680000 4401562506500 5501953133125 7042500010400 8803125013000 11003906266250 14085000020800 17606250026000 22007812532500 35212500052000 44015625065000 70425000104000 88031250130000 176062500260000 352125000520000