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1970981435696 = 247131379880993
BaseRepresentation
bin11100101011100111101…
…001011111100100110000
320222102110002022001021012
4130223213221133210300
5224243032221420241
64105242324250052
7262253520530540
oct34534751374460
96872402261235
101970981435696
1169a985700a39
12279ba5840928
13113b2a609670
146b57891d320
153640a6196eb
hex1cae7a5f930

1970981435696 has 80 divisors (see below), whose sum is σ = 4734339941184. Its totient is φ = 774037389312.

The previous prime is 1970981435677. The next prime is 1970981435699. The reversal of 1970981435696 is 6965341890791.

It is not an unprimeable number, because it can be changed into a prime (1970981435699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4741025 + ... + 5139968.

Almost surely, 21970981435696 is an apocalyptic number.

1970981435696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1970981435696 is an abundant number, since it is smaller than the sum of its proper divisors (2763358505488).

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

1970981435696 is a wasteful number, since it uses less digits than its factorization.

1970981435696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881158 (or 9881152 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 68.

The spelling of 1970981435696 in words is "one trillion, nine hundred seventy billion, nine hundred eighty-one million, four hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 182 208 274 364 548 728 959 1096 1456 1781 1918 2192 3562 3836 7124 7672 12467 14248 15344 24934 28496 49868 99736 199472 9880993 19761986 39523972 69166951 79047944 128452909 138333902 158095888 256905818 276667804 513811636 553335608 899170363 1027623272 1106671216 1353696041 1798340726 2055246544 2707392082 3596681452 5414784164 7193362904 9475872287 10829568328 14386725808 17598048533 18951744574 21659136656 35196097066 37903489148 70392194132 75806978296 123186339731 140784388264 151613956592 246372679462 281568776528 492745358924 985490717848 1970981435696