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10071710717060 = 22519149335952957
BaseRepresentation
bin1001001010010000000010…
…1111010101010010000100
31022122211211211121010100002
42102210000233111102010
52310003330420421220
633230514030340432
72056441244363246
oct222440057252204
938584754533302
1010071710717060
113233430149143
121167b6b65a718
135809b1b32495
1426b68b01a096
15126ec5822c75
hex92900bd5484

10071710717060 has 96 divisors (see below), whose sum is σ = 22420298880000. Its totient is φ = 3789832997376.

The previous prime is 10071710716981. The next prime is 10071710717099. The reversal of 10071710717060 is 6071701717001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190160102 + ... + 190213058.

It is an arithmetic number, because the mean of its divisors is an integer number (233544780000).

Almost surely, 210071710717060 is an apocalyptic number.

10071710717060 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 10071710717060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11210149440000).

10071710717060 is an abundant number, since it is smaller than the sum of its proper divisors (12348588162940).

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

10071710717060 is a wasteful number, since it uses less digits than its factorization.

10071710717060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56493 (or 56491 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 38.

The spelling of 10071710717060 in words is "ten trillion, seventy-one billion, seven hundred ten million, seven hundred seventeen thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 380 596 745 1490 2831 2980 3359 5662 6718 11324 13436 14155 16795 28310 33590 52957 56620 63821 67180 105914 127642 211828 255284 264785 319105 500491 529570 638210 1000982 1006183 1059140 1276420 2001964 2012366 2502455 4024732 5004910 5030915 7890593 9509329 10009820 10061830 15781186 19018658 20123660 31562372 38037316 39452965 47546645 78905930 95093290 149921267 157811860 177882563 190186580 299842534 355765126 599685068 711530252 749606335 889412815 1499212670 1778825630 2998425340 3379768697 3557651260 6759537394 13519074788 16898843485 26504501887 33797686970 53009003774 67595373940 106018007548 132522509435 265045018870 503585535853 530090037740 1007171071706 2014342143412 2517927679265 5035855358530 10071710717060