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1026166626320 = 245112293655481
BaseRepresentation
bin11101110111011000100…
…11000001100000010000
310122002201022112202202012
432323230103001200100
5113303042124020240
62103225304042052
7134065236256223
oct16735423014020
93562638482665
101026166626320
11366216343600
12146a65163328
13759c840ca94
14379497135ba
151ba5da80b65
hexeeec4c1810

1026166626320 has 120 divisors (see below), whose sum is σ = 2712879411480. Its totient is φ = 360284108800.

The previous prime is 1026166626301. The next prime is 1026166626337. The reversal of 1026166626320 is 236266616201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5226133264 + 1020940493056 = 72292^2 + 1010416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547021 + ... + 2108460.

It is an arithmetic number, because the mean of its divisors is an integer number (22607328429).

Almost surely, 21026166626320 is an apocalyptic number.

1026166626320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026166626320 is an abundant number, since it is smaller than the sum of its proper divisors (1686712785160).

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

1026166626320 is a wasteful number, since it uses less digits than its factorization.

1026166626320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655545 (or 3655528 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 1026166626320 in words is "one trillion, twenty-six billion, one hundred sixty-six million, six hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 121 145 176 220 232 242 290 319 440 464 484 580 605 638 880 968 1160 1210 1276 1595 1936 2320 2420 2552 3190 3509 4840 5104 6380 7018 9680 12760 14036 17545 25520 28072 35090 56144 70180 140360 280720 3655481 7310962 14621924 18277405 29243848 36554810 40210291 58487696 73109620 80420582 106008949 146219240 160841164 201051455 212017898 292438480 321682328 402102910 424035796 442313201 530044745 643364656 804205820 848071592 884626402 1060089490 1166098439 1608411640 1696143184 1769252804 2120178980 2211566005 2332196878 3216823280 3538505608 4240357960 4423132010 4664393756 5830492195 7077011216 8480715920 8846264020 9328787512 11660984390 12827082829 17692528040 18657575024 23321968780 25654165658 35385056080 46643937560 51308331316 64135414145 93287875120 102616662632 128270828290 205233325264 256541656580 513083313160 1026166626320