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16170135040 = 29519931741
BaseRepresentation
bin11110000111101000…
…01010111000000000
31112201220221222012101
433003310022320000
5231104023310130
611232314040144
71111465610563
oct170364127000
945656858171
1016170135040
11694868a874
123173419054
1316a90b4b57
14ad57bc4da
156499011ca
hex3c3d0ae00

16170135040 has 80 divisors (see below), whose sum is σ = 38966479200. Its totient is φ = 6435348480.

The previous prime is 16170135013. The next prime is 16170135053. The reversal of 16170135040 is 4053107161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×161701350402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493570 + ... + 525310.

It is an arithmetic number, because the mean of its divisors is an integer number (487080990).

Almost surely, 216170135040 is an apocalyptic number.

16170135040 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 16170135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483239600).

16170135040 is an abundant number, since it is smaller than the sum of its proper divisors (22796344160).

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

16170135040 is an equidigital number, since it uses as much as digits as its factorization.

16170135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31963 (or 31947 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 16170135040 in words is "sixteen billion, one hundred seventy million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 320 398 512 640 796 995 1280 1592 1990 2560 3184 3980 6368 7960 12736 15920 25472 31741 31840 50944 63482 63680 101888 126964 127360 158705 253928 254720 317410 507856 509440 634820 1015712 1269640 2031424 2539280 4062848 5078560 6316459 8125696 10157120 12632918 16251392 20314240 25265836 31582295 40628480 50531672 63164590 81256960 101063344 126329180 202126688 252658360 404253376 505316720 808506752 1010633440 1617013504 2021266880 3234027008 4042533760 8085067520 16170135040