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997435669076 = 2271150911095737
BaseRepresentation
bin11101000001110111100…
…11000111101001010100
310112100120000011220202122
432200323303013221110
5112320222012402301
62042114323555112
7132030246204410
oct16407363075124
93470500156678
10997435669076
11355012483140
1214138722ba98
1373099c34072
14363c1a4bd40
151ae2b57e81b
hexe83bcc7a54

997435669076 has 96 divisors (see below), whose sum is σ = 2182845369600. Its totient is φ = 387430548480.

The previous prime is 997435669063. The next prime is 997435669079. The reversal of 997435669076 is 670966534799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997435669079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173857280 + ... + 173863016.

It is an arithmetic number, because the mean of its divisors is an integer number (22737972600).

Almost surely, 2997435669076 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 997435669076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091422684800).

997435669076 is an abundant number, since it is smaller than the sum of its proper divisors (1185409700524).

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

997435669076 is a wasteful number, since it uses less digits than its factorization.

With its successor (997435669077) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (7375).

With its successor (997435669077) it forms an eRAP, since the sums of their prime factors are consecutive (7377 and 7378).

997435669076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 71.

The spelling of 997435669076 in words is "nine hundred ninety-seven billion, four hundred thirty-five million, six hundred sixty-nine thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 509 1018 1109 2036 2218 3563 4436 5599 5737 7126 7763 11198 11474 12199 14252 15526 22396 22948 24398 31052 39193 40159 48796 63107 78386 80318 85393 126214 156772 160636 170786 252428 341572 441749 564481 883498 1128962 1766996 2257924 2920133 3951367 5840266 6209291 6362333 7902734 11680532 12418582 12724666 15805468 20440931 24837164 25449332 32121463 40881862 43465037 44536331 64242926 69985663 81763724 86930074 89072662 128485852 139971326 173860148 178145324 224850241 279942652 449700482 489899641 899400964 979799282 1959598564 3238427497 6476854994 12953709988 22668992479 35622702467 45337984958 71245404934 90675969916 142490809868 249358917269 498717834538 997435669076