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190013500352 = 26135315128537
BaseRepresentation
bin1011000011110110101…
…1111110101111000000
3200011110100220221101002
42300331223332233000
511103121424002402
6223142504431132
716504466050454
oct2607553765700
9604410827332
10190013500352
1173647738205
12309ab1784a8
1314bc237a8a0
1492a7a74664
154e21881602
hex2c3dafebc0

190013500352 has 112 divisors (see below), whose sum is σ = 416478549312. Its totient is φ = 85471027200.

The previous prime is 190013500321. The next prime is 190013500363. The reversal of 190013500352 is 253005310091.

It is a super-2 number, since 2×1900135003522 (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 6644228 + ... + 6672764.

It is an arithmetic number, because the mean of its divisors is an integer number (3718558476).

Almost surely, 2190013500352 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 190013500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208239274656).

190013500352 is an abundant number, since it is smaller than the sum of its proper divisors (226465048960).

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

190013500352 is a wasteful number, since it uses less digits than its factorization.

190013500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28766 (or 28756 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The spelling of 190013500352 in words is "one hundred ninety billion, thirteen million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 151 208 212 302 416 424 604 689 832 848 1208 1378 1696 1963 2416 2756 3392 3926 4832 5512 7852 8003 9664 11024 15704 16006 22048 28537 31408 32012 44096 57074 62816 64024 104039 114148 125632 128048 208078 228296 256096 370981 416156 456592 512192 741962 832312 913184 1483924 1512461 1664624 1826368 2967848 3024922 3329248 4309087 5935696 6049844 6658496 8618174 11871392 12099688 17236348 19661993 23742784 24199376 34472696 39323986 48398752 56018131 68945392 78647972 96797504 112036262 137890784 157295944 224072524 228381611 275781568 314591888 448145048 456763222 629183776 896290096 913526444 1258367552 1792580192 1827052888 2968960943 3585160384 3654105776 5937921886 7308211552 11875843772 14616423104 23751687544 47503375088 95006750176 190013500352