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502130105008 = 24723811240353
BaseRepresentation
bin1110100111010010100…
…10010101101010110000
31210000002022101020222121
413103221102111222300
531211330301330013
61022401514444024
751164152320130
oct7235122255260
91700068336877
10502130105008
11183a52398964
1281396433614
133847354963c
141a4360a8ac0
15d0dcb4558d
hex74e9495ab0

502130105008 has 80 divisors (see below), whose sum is σ = 1161636650496. Its totient is φ = 205587486720.

The previous prime is 502130104991. The next prime is 502130105011. The reversal of 502130105008 is 800501031205.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968960 + ... + 2209312.

Almost surely, 2502130105008 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 502130105008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580818325248).

502130105008 is an abundant number, since it is smaller than the sum of its proper divisors (659506545488).

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

502130105008 is a wasteful number, since it uses less digits than its factorization.

502130105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241202 (or 241196 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 502130105008 in words is "five hundred two billion, one hundred thirty million, one hundred five thousand, eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 811 1288 1622 2576 3244 5677 6488 11354 12976 18653 22708 37306 45416 74612 90832 130571 149224 240353 261142 298448 480706 522284 961412 1044568 1682471 1922824 2089136 3364942 3845648 5528119 6729884 11056238 13459768 22112476 26919536 38696833 44224952 77393666 88449904 154787332 194926283 309574664 389852566 619149328 779705132 1364483981 1559410264 2728967962 3118820528 4483304509 5457935924 8966609018 10915871848 17933218036 21831743696 31383131563 35866436072 62766263126 71732872144 125532526252 251065052504 502130105008