Search a number
-
+
1351051553632 = 251129433730517
BaseRepresentation
bin10011101010010000111…
…100101010101101100000
311210011022002212002020211
4103222100330222231200
5134113423144204012
62512355311343504
7166416213503224
oct23522074525540
94704262762224
101351051553632
11480a83420030
12199a14521b94
139a532984941
1449569806784
1525225c816a7
hex13a90f2ab60

1351051553632 has 96 divisors (see below), whose sum is σ = 3002539065120. Its totient is φ = 592781844480.

The previous prime is 1351051553623. The next prime is 1351051553641. The reversal of 1351051553632 is 2363551501531.

It is an interprime number because it is at equal distance from previous prime (1351051553623) and next prime (1351051553641).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44256838 + ... + 44287354.

It is an arithmetic number, because the mean of its divisors is an integer number (31276448595).

Almost surely, 21351051553632 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 1351051553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501269532560).

1351051553632 is an abundant number, since it is smaller than the sum of its proper divisors (1651487511488).

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

1351051553632 is a wasteful number, since it uses less digits than its factorization.

1351051553632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34904 (or 34896 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 1351051553632 in words is "one trillion, three hundred fifty-one billion, fifty-one million, five hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 4337 5104 8674 10208 17348 30517 34696 47707 61034 69392 95414 122068 125773 138784 190828 244136 251546 335687 381656 488272 503092 671374 763312 884993 976544 1006184 1342748 1383503 1526624 1769986 2012368 2685496 2767006 3539972 4024736 5370992 5534012 7079944 9734923 10741984 11068024 14159888 19469846 22136048 28319776 38939692 44272096 77879384 132352229 155758768 264704458 311517536 529408916 1058817832 1455874519 2117635664 2911749038 3838214641 4235271328 5823498076 7676429282 11646996152 15352858564 23293992304 30705717128 42220361051 46587984608 61411434256 84440722102 122822868512 168881444204 337762888408 675525776816 1351051553632