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7072072883168 = 251931571657121
BaseRepresentation
bin110011011101001100001…
…1001000101101111100000
3221001002020220210210101112
41212322120121011233200
51411332101124230133
623012510533322452
71326640362444056
oct146723031055740
927032226723345
107072072883168
1122872818571a7
12962746a96428
133c3b80358267
141a640c27a1d6
15c3e62cbc648
hex66e98645be0

7072072883168 has 96 divisors (see below), whose sum is σ = 15155230970880. Its totient is φ = 3236184576000.

The previous prime is 7072072883147. The next prime is 7072072883201. The reversal of 7072072883168 is 8613882702707.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10433648 + ... + 11090768.

It is an arithmetic number, because the mean of its divisors is an integer number (157866989280).

Almost surely, 27072072883168 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 7072072883168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577615485440).

7072072883168 is an abundant number, since it is smaller than the sum of its proper divisors (8083158087712).

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

7072072883168 is a wasteful number, since it uses less digits than its factorization.

7072072883168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657752 (or 657744 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 59.

The spelling of 7072072883168 in words is "seven trillion, seventy-two billion, seventy-two million, eight hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 571 589 608 992 1142 1178 2284 2356 4568 4712 9136 9424 10849 17701 18272 18848 21698 35402 43396 70804 86792 141608 173584 283216 336319 347168 566432 657121 672638 1314242 1345276 2628484 2690552 5256968 5381104 10513936 10762208 12485299 20370751 21027872 24970598 40741502 49941196 81483004 99882392 162966008 199764784 325932016 375216091 387044269 399529568 651864032 750432182 774088538 1500864364 1548177076 3001728728 3096354152 6003457456 6192708304 7129105729 11631698821 12006914912 12385416608 14258211458 23263397642 28516422916 46526795284 57032845832 93053590568 114065691664 186107181136 221002277599 228131383328 372214362272 442004555198 884009110396 1768018220792 3536036441584 7072072883168