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1002066433446 = 23132315124115349
BaseRepresentation
bin11101001010011111101…
…00000101010110100110
310112210111201210010021010
432211033310011112212
5112404213001332241
62044202025203050
7132253066101231
oct16451764052646
93483451703233
101002066433446
11356a79417a31
1214225a030486
1373657433220
1436700a76418
151b0ecd9cd16
hexe94fd055a6

1002066433446 has 128 divisors (see below), whose sum is σ = 2276605900800. Its totient is φ = 291734784000.

The previous prime is 1002066433427. The next prime is 1002066433481. The reversal of 1002066433446 is 6443346602001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65277780 + ... + 65293128.

It is an arithmetic number, because the mean of its divisors is an integer number (17785983600).

Almost surely, 21002066433446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002066433446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138302950400).

1002066433446 is an abundant number, since it is smaller than the sum of its proper divisors (1274539467354).

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

1002066433446 is a wasteful number, since it uses less digits than its factorization.

1002066433446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 1002066433446 in words is "one trillion, two billion, sixty-six million, four hundred thirty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 151 241 299 302 453 482 598 723 897 906 1446 1794 1963 3133 3473 3926 5543 5889 6266 6946 9399 10419 11086 11778 15349 16629 18798 20838 30698 33258 36391 45149 46047 72059 72782 90298 92094 109173 135447 144118 199537 216177 218346 270894 353027 399074 432354 473083 598611 706054 836993 946166 1059081 1197222 1419249 1673986 2118162 2317699 2510979 2838498 3699109 4589351 4635398 5021958 6953097 7398218 9178702 10880909 11097327 13768053 13906194 21761818 22194654 27536106 30130087 32642727 48088417 53307077 60260174 65285454 85079507 90390261 96176834 106614154 144265251 159921231 170159014 180780522 255238521 288530502 319842462 510477042 558565459 692992001 1106033591 1117130918 1385984002 1675696377 2078976003 2212067182 3318100773 3351392754 4157952006 6636201546 7261350967 12847005557 14522701934 21784052901 25694011114 38541016671 43568105802 77082033342 167011072241 334022144482 501033216723 1002066433446