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988197541290972 = 2232109385576531479
BaseRepresentation
bin1110000010110000101010101…
…1011010101010001111011100
311210120220202120201212111211200
43200230022223122222033130
52014011112031032302342
613421415403332515500
7415101626202361215
oct34054125332521734
94716822521774750
10988197541290972
11266963250890501
12929bb37917bb90
1333552822483b4c
141360503263640c
15793a444a7d94c
hex382c2ab6aa3dc

988197541290972 has 72 divisors (see below), whose sum is σ = 2520926466458400. Its totient is φ = 326368654835328.

The previous prime is 988197541290899. The next prime is 988197541290991. The reversal of 988197541290972 is 279092145791889.

988197541290972 is a `hidden beast` number, since 9 + 8 + 8 + 197 + 5 + 412 + 9 + 0 + 9 + 7 + 2 = 666.

988197541290972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9881975412909722 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 988197541290891 and 988197541290900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148031929 + ... + 154563407.

It is an arithmetic number, because the mean of its divisors is an integer number (35012867589700).

Almost surely, 2988197541290972 is an apocalyptic number.

It is an amenable number.

988197541290972 is an abundant number, since it is smaller than the sum of its proper divisors (1532728925167428).

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

988197541290972 is a wasteful number, since it uses less digits than its factorization.

988197541290972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570155 (or 6570150 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 81.

The spelling of 988197541290972 in words is "nine hundred eighty-eight trillion, one hundred ninety-seven billion, five hundred forty-one million, two hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 38557 77114 115671 154228 231342 347013 462684 694026 1388052 4202713 6531479 8405426 12608139 13062958 16810852 19594437 25216278 26125916 37824417 39188874 50432556 58783311 75648834 78377748 117566622 151297668 235133244 711931211 1423862422 2135793633 2847724844 4271587266 6407380899 8543174532 12814761798 25629523596 251834235803 503668471606 755502707409 1007336943212 1511005414818 2266508122227 3022010829636 4533016244454 9066032488908 27449931702527 54899863405054 82349795107581 109799726810108 164699590215162 247049385322743 329399180430324 494098770645486 988197541290972