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1352133015400 = 2352171572533033
BaseRepresentation
bin10011101011010001011…
…010000111011101101000
311210021002110211000220101
4103223101122013131220
5134123132022443100
62513054503035144
7166455054666046
oct23532132073550
94707073730811
101352133015400
11481488923292
1219a07673bab4
139a675a4464b
144962d2bb396
152528aba486a
hex13ad1687768

1352133015400 has 96 divisors (see below), whose sum is σ = 3349836143640. Its totient is φ = 505795829760.

The previous prime is 1352133015323. The next prime is 1352133015403. The reversal of 1352133015400 is 45103312531.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5201005924 + 1346932009476 = 72118^2 + 1160574^2 .

It is not an unprimeable number, because it can be changed into a prime (1352133015403) 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, 732717 + ... + 1800316.

Almost surely, 21352133015400 is an apocalyptic number.

1352133015400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352133015400 is an abundant number, since it is smaller than the sum of its proper divisors (1997703128240).

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

1352133015400 is a wasteful number, since it uses less digits than its factorization.

1352133015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533223 (or 2533214 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 1352133015400 its reverse (45103312531), we get a palindrome (1397236327931).

The spelling of 1352133015400 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-three million, fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 157 170 200 314 340 425 628 680 785 850 1256 1570 1700 2669 3140 3400 3925 5338 6280 7850 10676 13345 15700 21352 26690 31400 53380 66725 106760 133450 266900 533800 2533033 5066066 10132132 12665165 20264264 25330330 43061561 50660660 63325825 86123122 101321320 126651650 172246244 215307805 253303300 344492488 397686181 430615610 506606600 795372362 861231220 1076539025 1590744724 1722462440 1988430905 2153078050 3181489448 3976861810 4306156100 6760665077 7953723620 8612312200 9942154525 13521330154 15907447240 19884309050 27042660308 33803325385 39768618100 54085320616 67606650770 79537236200 135213301540 169016626925 270426603080 338033253850 676066507700 1352133015400