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19508893040 = 2457134615813
BaseRepresentation
bin10010001010110100…
…100001010101110000
31212100121102110011002
4102022310201111300
5304423234034130
612543503141132
71260306566120
oct221264412560
955317373132
1019508893040
1183012970aa
1239455a47a8
131abba175c0
14d30da6c80
15792aacb45
hex48ad21570

19508893040 has 160 divisors (see below), whose sum is σ = 55956168576. Its totient is φ = 6159790080.

The previous prime is 19508893009. The next prime is 19508893069. The reversal of 19508893040 is 4039880591.

It is a congruent number.

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, 3353174 + ... + 3358986.

Almost surely, 219508893040 is an apocalyptic number.

19508893040 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 19508893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27978084288).

19508893040 is an abundant number, since it is smaller than the sum of its proper divisors (36447275536).

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

19508893040 is a wasteful number, since it uses less digits than its factorization.

19508893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 19508893040 in words is "nineteen billion, five hundred eight million, eight hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 461 520 560 728 910 922 1040 1456 1820 1844 2305 3227 3640 3688 4610 5813 5993 6454 7280 7376 9220 11626 11986 12908 16135 18440 23252 23972 25816 29065 29965 32270 36880 40691 41951 46504 47944 51632 58130 59930 64540 75569 81382 83902 93008 95888 116260 119860 129080 151138 162764 167804 203455 209755 232520 239720 258160 302276 325528 335608 377845 406910 419510 465040 479440 528983 604552 651056 671216 755690 813820 839020 1057966 1209104 1511380 1627640 1678040 2115932 2644915 2679793 3022760 3255280 3356080 4231864 5289830 5359586 6045520 8463728 10579660 10719172 13398965 18758551 21159320 21438344 26797930 34837309 37517102 42318640 42876688 53595860 69674618 75034204 93792755 107191720 139349236 150068408 174186545 187585510 214383440 243861163 278698472 300136816 348373090 375171020 487722326 557396944 696746180 750342040 975444652 1219305815 1393492360 1500684080 1950889304 2438611630 2786984720 3901778608 4877223260 9754446520 19508893040