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7993692060 = 2235171492353
BaseRepresentation
bin1110111000111011…
…00000111110011100
3202122002112122000220
413130131200332130
5112332341121220
63401112321340
7402043155444
oct73435407634
922562478026
107993692060
11343225a182
1216710a3250
139a5144c03
1455b905124
1531bba1540
hex1dc760f9c

7993692060 has 144 divisors (see below), whose sum is σ = 23926656096. Its totient is φ = 1987149824.

The previous prime is 7993692053. The next prime is 7993692061. The reversal of 7993692060 is 602963997.

It is a super-2 number, since 2×79936920602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 7993691994 and 7993692012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993692061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22644844 + ... + 22645196.

It is an arithmetic number, because the mean of its divisors is an integer number (166157334).

Almost surely, 27993692060 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 7993692060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963328048).

7993692060 is an abundant number, since it is smaller than the sum of its proper divisors (15932964036).

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

7993692060 is a wasteful number, since it uses less digits than its factorization.

7993692060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The square root of 7993692060 is about 89407.4496896092. The cubic root of 7993692060 is about 1999.4742001127.

The spelling of 7993692060 in words is "seven billion, nine hundred ninety-three million, six hundred ninety-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 149 170 204 255 298 340 353 447 510 596 706 745 894 1020 1059 1412 1490 1765 1788 2118 2235 2533 2980 3530 4236 4470 5066 5295 6001 7060 7599 8940 10132 10590 12002 12665 15198 18003 21180 22201 24004 25330 30005 30396 36006 37995 44402 50660 52597 60010 66603 72012 75990 88804 90015 105194 111005 120020 133206 151980 157791 180030 210388 222010 262985 266412 315582 333015 360060 377417 444020 525970 631164 666030 754834 788955 894149 1051940 1132251 1332060 1509668 1577910 1788298 1887085 2264502 2682447 3155820 3576596 3774170 4470745 4529004 5364894 5661255 7548340 7836953 8941490 10729788 11322510 13412235 15673906 17882980 22645020 23510859 26824470 31347812 39184765 47021718 53648940 78369530 94043436 117554295 133228201 156739060 235108590 266456402 399684603 470217180 532912804 666141005 799369206 1332282010 1598738412 1998423015 2664564020 3996846030 7993692060