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13833052996 = 22723122712
BaseRepresentation
bin11001110001000001…
…11010001101000100
31022201001022220100011
430320200322031010
5211312230143441
610204350200004
7666540003400
oct147040721504
938631286304
1013833052996
115959441504
1228207b3004
1313c5b58379
1495325a100
1555e657581
hex33883a344

13833052996 has 81 divisors (see below), whose sum is σ = 29205606591. Its totient is φ = 5716040400.

The previous prime is 13833052993. The next prime is 13833053011. The reversal of 13833052996 is 69925033831.

It is a happy number.

The square root of 13833052996 is 117614.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (13833052993) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51044341 + ... + 51044611.

Almost surely, 213833052996 is an apocalyptic number.

13833052996 is the 117614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13833052996

13833052996 is an abundant number, since it is smaller than the sum of its proper divisors (15372553595).

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

13833052996 is an equidigital number, since it uses as much as digits as its factorization.

13833052996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

Multiplying 13833052996 by its sum of digits (49), we get a square (677819596804 = 8232982).

13833052996 divided by its sum of digits (49) gives a square (282307204 = 168022).

The spelling of 13833052996 in words is "thirteen billion, eight hundred thirty-three million, fifty-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 271 434 542 868 961 1084 1519 1897 1922 3038 3794 3844 6076 6727 7588 8401 13279 13454 16802 26558 26908 33604 47089 53116 58807 73441 94178 117614 146882 188356 235228 260431 293764 411649 514087 520862 823298 1028174 1041724 1646596 1823017 2056348 2276671 3598609 3646034 4553342 7197218 7292068 9106684 12761119 14394436 15936697 25522238 31873394 51044476 63746788 70576801 111556879 141153602 223113758 282307204 446227516 494037607 988075214 1976150428 3458263249 6916526498 13833052996