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1320373440684 = 22325314910094603
BaseRepresentation
bin10011001101101100011…
…000111101000010101100
311200020010002120110210100
4103031230120331002230
5133113111100100214
62450323213111100
7164252041031544
oct23155430750254
94606102513710
101320373440684
11469a70426781
12193a92488490
1397683c7479c
1447c992c0324
152452c85a309
hex1336c63d0ac

1320373440684 has 144 divisors (see below), whose sum is σ = 3427544484000. Its totient is φ = 428403935232.

The previous prime is 1320373440667. The next prime is 1320373440707. The reversal of 1320373440684 is 4860443730231.

1320373440684 is a `hidden beast` number, since 1 + 3 + 203 + 7 + 34 + 406 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286848327 + ... + 286852929.

It is an arithmetic number, because the mean of its divisors is an integer number (23802392250).

Almost surely, 21320373440684 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 1320373440684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713772242000).

1320373440684 is an abundant number, since it is smaller than the sum of its proper divisors (2107171043316).

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

1320373440684 is a wasteful number, since it uses less digits than its factorization.

1320373440684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1320373440684 in words is "one trillion, three hundred twenty billion, three hundred seventy-three million, four hundred forty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 149 159 212 298 318 447 477 596 636 894 954 1009 1341 1788 1908 2018 2682 3027 4036 4603 5364 6054 7897 9081 9206 12108 13809 15794 18162 18412 23691 27618 31588 36324 41427 47382 53477 55236 71073 82854 94764 106954 142146 150341 160431 165708 213908 243959 284292 300682 320862 451023 481293 487918 601364 641724 685847 731877 902046 962586 975836 1353069 1371694 1463754 1804092 1925172 2057541 2195631 2706138 2743388 2927508 4115082 4391262 4644427 5412276 6172623 7968073 8230164 8782524 9288854 12345246 13933281 15936146 18577708 23904219 24690492 27866562 31872292 36349891 41799843 47808438 55733124 71712657 72699782 83599686 95616876 109049673 143425314 145399564 167199372 218099346 246154631 286850628 327149019 436198692 492309262 654298038 692019623 738463893 984618524 1308596076 1384039246 1476927786 2076058869 2215391679 2768078492 2953855572 4152117738 4430783358 6228176607 8304235476 8861566716 12456353214 24912706428 36677040019 73354080038 110031120057 146708160076 220062240114 330093360171 440124480228 660186720342 1320373440684