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1349049707652 = 2231721123346393
BaseRepresentation
bin10011101000011001101…
…000001110110010000100
311202222010121000202211010
4103220121220032302010
5134100323211121102
62511424521042220
7166315465212453
oct23503150166204
94688117022733
101349049707652
11480146432569
12199556026370
139a2a40122aa
14494199cab9a
152515a156d6c
hex13a19a0ec84

1349049707652 has 72 divisors (see below), whose sum is σ = 3346825574176. Its totient is φ = 422853184512.

The previous prime is 1349049707641. The next prime is 1349049707653. The reversal of 1349049707652 is 2567079409431.

It is a happy number.

It is a super-2 number, since 2×13490497076522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1349049707592 and 1349049707601.

It is not an unprimeable number, because it can be changed into a prime (1349049707653) 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 23 ways as a sum of consecutive naturals, for example, 3721368 + ... + 4067760.

Almost surely, 21349049707652 is an apocalyptic number.

1349049707652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349049707652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673412787088).

1349049707652 is an abundant number, since it is smaller than the sum of its proper divisors (1997775866524).

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

1349049707652 is a wasteful number, since it uses less digits than its factorization.

1349049707652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347557 (or 347538 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 1349049707652 in words is "one trillion, three hundred forty-nine billion, forty-nine million, seven hundred seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1123 1156 1734 2246 3369 3468 4492 6738 13476 19091 38182 57273 76364 114546 229092 324547 346393 649094 692786 973641 1039179 1298188 1385572 1947282 2078358 3894564 4156716 5888681 11777362 17666043 23554724 35332086 70664172 100107577 200215154 300322731 388999339 400430308 600645462 777998678 1166998017 1201290924 1555997356 2333996034 4667992068 6612988763 13225977526 19838966289 26451955052 39677932578 79355865156 112420808971 224841617942 337262426913 449683235884 674524853826 1349049707652