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1352302740216 = 2332472347170267
BaseRepresentation
bin10011101011011011100…
…001100100001011111000
311210021112022011221120200
4103223123201210023320
5134124004000141331
62513123404522200
7166462215430431
oct23533341441370
94707468157520
101352302740216
1148156570802a
1219a103550360
139a6a1c5b62c
1449647a5c488
152529aa2d5e6
hex13adb8642f8

1352302740216 has 96 divisors (see below), whose sum is σ = 3742027511040. Its totient is φ = 440986215744.

The previous prime is 1352302740181. The next prime is 1352302740253. The reversal of 1352302740216 is 6120472032531.

1352302740216 is a `hidden beast` number, since 1 + 3 + 5 + 230 + 2 + 7 + 402 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7857115 + ... + 8027381.

It is an arithmetic number, because the mean of its divisors is an integer number (38979453240).

Almost surely, 21352302740216 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 1352302740216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871013755520).

1352302740216 is an abundant number, since it is smaller than the sum of its proper divisors (2389724770824).

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

1352302740216 is a wasteful number, since it uses less digits than its factorization.

1352302740216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172673 (or 172666 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 1352302740216 its reverse (6120472032531), we get a palindrome (7472774772747).

The spelling of 1352302740216 in words is "one trillion, three hundred fifty-two billion, three hundred two million, seven hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2347 3384 4694 7041 9388 14082 18776 21123 28164 42246 56328 84492 110309 168984 170267 220618 330927 340534 441236 510801 661854 681068 882472 992781 1021602 1323708 1362136 1532403 1985562 2043204 2647416 3064806 3971124 4086408 6129612 7942248 8002549 12259224 16005098 24007647 32010196 48015294 64020392 72022941 96030588 144045882 192061176 288091764 399616649 576183528 799233298 1198849947 1598466596 2397699894 3196933192 3596549841 4795399788 7193099682 9590799576 14386199364 18781982503 28772398728 37563965006 56345947509 75127930012 112691895018 150255860024 169037842527 225383790036 338075685054 450767580072 676151370108 1352302740216