Search a number
-
+
1351016004352 = 2872549295769
BaseRepresentation
bin10011101010001110110…
…101000011101100000000
311210011012121221222210211
4103222032311003230000
5134113340044114402
62512352001403504
7166415302363060
oct23521665035400
94704177858724
101351016004352
11480a6534a363
12199a04639594
139a5284b8b71
1449564bd13a0
1525222aad4d7
hex13a8ed43b00

1351016004352 has 72 divisors (see below), whose sum is σ = 3083224788000. Its totient is φ = 578777751552.

The previous prime is 1351016004347. The next prime is 1351016004353. The reversal of 1351016004352 is 2534006101531.

It is not an unprimeable number, because it can be changed into a prime (1351016004353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4419924 + ... + 4715692.

It is an arithmetic number, because the mean of its divisors is an integer number (42822566500).

Almost surely, 21351016004352 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 1351016004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541612394000).

1351016004352 is an abundant number, since it is smaller than the sum of its proper divisors (1732208783648).

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

1351016004352 is an equidigital number, since it uses as much as digits as its factorization.

1351016004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298341 (or 298327 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 1351016004352 in words is "one trillion, three hundred fifty-one billion, sixteen million, four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2549 5098 10196 17843 20392 35686 40784 71372 81568 142744 163136 285488 295769 326272 570976 591538 652544 1141952 1183076 2070383 2283904 2366152 4140766 4567808 4732304 8281532 9464608 16563064 18929216 33126128 37858432 66252256 75716864 132504512 265009024 530018048 753915181 1507830362 3015660724 5277406267 6031321448 10554812534 12062642896 21109625068 24125285792 42219250136 48250571584 84438500272 96501143168 168877000544 193002286336 337754001088 675508002176 1351016004352