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6997950597996 = 22322319757774353
BaseRepresentation
bin110010111010101011001…
…0111000000101101101100
3220202222221012122120100100
41211311112113000231230
51404123300323113441
622514451503431100
71321404511431231
oct145652627005554
926688835576310
106997950597996
1122588a5749286
129502bb5b5490
133b9b99b75117
141a29b9d9b788
15c207582dcb6
hex65d565c0b6c

6997950597996 has 144 divisors (see below), whose sum is σ = 18584462280384. Its totient is φ = 2216027455488.

The previous prime is 6997950597947. The next prime is 6997950598013.

6997950597996 is a `hidden beast` number, since 6 + 9 + 9 + 7 + 9 + 5 + 0 + 597 + 9 + 9 + 6 = 666.

6997950597996 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94080756 + ... + 94155108.

It is an arithmetic number, because the mean of its divisors is an integer number (129058765836).

Almost surely, 26997950597996 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 6997950597996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292231140192).

6997950597996 is an abundant number, since it is smaller than the sum of its proper divisors (11586511682388).

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

6997950597996 is a wasteful number, since it uses less digits than its factorization.

6997950597996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75160 (or 75155 counting only the distinct ones).

The product of its (nonzero) digits is 23436548100, while the sum is 90.

The spelling of 6997950597996 in words is "six trillion, nine hundred ninety-seven billion, nine hundred fifty million, five hundred ninety-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 197 207 276 394 414 577 591 788 828 1154 1182 1731 1773 2308 2364 3462 3546 4531 5193 6924 7092 9062 10386 13271 13593 18124 20772 26542 27186 39813 40779 53084 54372 74353 79626 81558 113669 119439 148706 159252 163116 223059 227338 238878 297412 341007 446118 454676 477756 669177 682014 892236 1023021 1338354 1364028 1710119 2046042 2614387 2676708 3420238 4092084 5130357 5228774 6840476 7843161 10260714 10457548 14647541 15391071 15686322 20521428 23529483 29295082 30782142 31372644 42901681 43942623 47058966 58590164 61564284 85803362 87885246 94117932 128705043 131827869 171606724 175770492 257410086 263655738 336893443 386115129 514820172 527311476 673786886 772230258 986738663 1010680329 1347573772 1544460516 1973477326 2021360658 2960215989 3032040987 3946954652 4042721316 5920431978 6064081974 8451631157 8880647967 11840863956 12128163948 16903262314 17761295934 25354893471 33806524628 35522591868 50709786942 76064680413 101419573884 152129360826 194387516611 304258721652 388775033222 583162549833 777550066444 1166325099666 1749487649499 2332650199332 3498975298998 6997950597996