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6996492946996 = 2279710125505231
BaseRepresentation
bin110010111001111111101…
…1110100000111000110100
3220202212011121211020002021
41211303333132200320310
51404112304143300441
622514051113122524
71321323421543660
oct145637736407064
926685147736067
106996492946996
112258217963533
1294bb733b9444
133b99c6b8c937
141a28bc55d8a0
15c1edc89c3d1
hex65cff7a0e34

6996492946996 has 48 divisors (see below), whose sum is σ = 14277216748032. Its totient is φ = 2938202496000.

The previous prime is 6996492946991. The next prime is 6996492947027.

6996492946996 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996492946991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12478300 + ... + 13026931.

It is an arithmetic number, because the mean of its divisors is an integer number (297442015584).

Almost surely, 26996492946996 is an apocalyptic number.

It is an amenable number.

6996492946996 is an abundant number, since it is smaller than the sum of its proper divisors (7280723801036).

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

6996492946996 is a wasteful number, since it uses less digits than its factorization.

6996492946996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25505440 (or 25505438 counting only the distinct ones).

The product of its digits is 22039921152, while the sum is 88.

The spelling of 6996492946996 in words is "six trillion, nine hundred ninety-six billion, four hundred ninety-two million, nine hundred forty-six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 97 101 194 202 388 404 679 707 1358 1414 2716 2828 9797 19594 39188 68579 137158 274316 25505231 51010462 102020924 178536617 357073234 714146468 2474007407 2576028331 4948014814 5152056662 9896029628 10304113324 17318051849 18032198317 34636103698 36064396634 69272207396 72128793268 249874748107 499749496214 999498992428 1749123236749 3498246473498 6996492946996