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1070693986640 = 245471109256771
BaseRepresentation
bin11111001010010100101…
…01011011000101010000
310210100122111122001001112
433211022111123011100
5120020240130033030
62135511531552452
7140232536503235
oct17451225330520
93710574561045
101070693986640
1138309592a443
121536112bb728
1379c73428475
1439b712ad78c
151ccb7c5ca95
hexf94a55b150

1070693986640 has 80 divisors (see below), whose sum is σ = 2544631061760. Its totient is φ = 418785707520.

The previous prime is 1070693986627. The next prime is 1070693986693. The reversal of 1070693986640 is 466893960701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10706939866402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070693986640.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4041455 + ... + 4298225.

It is an arithmetic number, because the mean of its divisors is an integer number (31807888272).

Almost surely, 21070693986640 is an apocalyptic number.

1070693986640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070693986640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272315530880).

1070693986640 is an abundant number, since it is smaller than the sum of its proper divisors (1473937075120).

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

1070693986640 is a wasteful number, since it uses less digits than its factorization.

1070693986640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257940 (or 257934 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 1070693986640 in words is "one trillion, seventy billion, six hundred ninety-three million, nine hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1109 1880 2218 3760 4436 5545 8872 11090 17744 22180 44360 52123 88720 104246 208492 256771 260615 416984 513542 521230 833968 1027084 1042460 1283855 2054168 2084920 2567710 4108336 4169840 5135420 10270840 12068237 20541680 24136474 48272948 60341185 96545896 120682370 193091792 241364740 284759039 482729480 569518078 965458960 1139036156 1423795195 2278072312 2847590390 4556144624 5695180780 11390361560 13383674833 22780723120 26767349666 53534699332 66918374165 107069398664 133836748330 214138797328 267673496660 535346993320 1070693986640