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1370021566004 = 2272133735114139
BaseRepresentation
bin10011111011111011101…
…001100001011000110100
311211222021011021120002122
4103323323221201120310
5134421301010103004
62525213524455112
7200660261111600
oct23737351413064
94758234246078
101370021566004
11489028504103
121a162954a498
139c266b52c30
144a448db6500
1525986395cbe
hex13efba61634

1370021566004 has 144 divisors (see below), whose sum is σ = 3086308794240. Its totient is φ = 527060701440.

The previous prime is 1370021566003. The next prime is 1370021566019. The reversal of 1370021566004 is 4006651200731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370021566003) 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 47 ways as a sum of consecutive naturals, for example, 331000967 + ... + 331005105.

It is an arithmetic number, because the mean of its divisors is an integer number (21432699960).

Almost surely, 21370021566004 is an apocalyptic number.

1370021566004 is a gapful number since it is divisible by the number (14) 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 1370021566004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543154397120).

1370021566004 is an abundant number, since it is smaller than the sum of its proper divisors (1716287228236).

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

1370021566004 is a wasteful number, since it uses less digits than its factorization.

1370021566004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 1370021566004 its reverse (4006651200731), we get a palindrome (5376672766735).

The spelling of 1370021566004 in words is "one trillion, three hundred seventy billion, twenty-one million, five hundred sixty-six thousand, four".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 182 196 259 364 481 518 637 962 1036 1274 1813 1924 2548 3367 3511 3626 4139 6734 7022 7252 8278 13468 14044 16556 23569 24577 28973 45643 47138 49154 53807 57946 91286 94276 98308 107614 115892 129907 153143 172039 182572 202811 215228 259814 306286 319501 344078 376649 405622 519628 612572 639002 688156 753298 811244 909349 1072001 1278004 1506596 1688791 1818698 1990859 2144002 2236507 2636543 3377582 3637396 3981718 4288004 4473014 5273086 6365443 6755164 7504007 7963436 8946028 10546172 11821537 12730886 13936013 14532029 15008014 23643074 25461772 27872026 29064058 30016028 47286148 55744052 58128116 82750759 97552091 101724203 165501518 188916377 195104182 203448406 331003036 377832754 390208364 406896812 537685073 712069421 755665508 1075370146 1322414639 1424138842 2150740292 2644829278 2848277684 3763795511 5289658556 6989905949 7527591022 9256902473 13979811898 15055182044 18513804946 26346568577 27959623796 37027609892 48929341643 52693137154 97858683286 105386274308 195717366572 342505391501 685010783002 1370021566004