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1020731646560 = 255192237150097
BaseRepresentation
bin11101101101010000101…
…10001110001001100000
310121120200112200012010112
432312220112032021200
5113210424300142220
62100530113350452
7133513452561203
oct16665026161140
93546615605115
101020731646560
1136398744989a
121459a8b68428
1375340413122
143759198393a
151b8418565c5
hexeda858e260

1020731646560 has 96 divisors (see below), whose sum is σ = 2539550089440. Its totient is φ = 386628083712.

The previous prime is 1020731646559. The next prime is 1020731646577. The reversal of 1020731646560 is 656461370201.

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, 6725432 + ... + 6875528.

It is an arithmetic number, because the mean of its divisors is an integer number (26453646765).

Almost surely, 21020731646560 is an apocalyptic number.

1020731646560 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 1020731646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269775044720).

1020731646560 is an abundant number, since it is smaller than the sum of its proper divisors (1518818442880).

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

1020731646560 is a wasteful number, since it uses less digits than its factorization.

1020731646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152368 (or 152360 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 1020731646560 in words is "one trillion, twenty billion, seven hundred thirty-one million, six hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 2237 3040 4474 8948 11185 17896 22370 35792 42503 44740 71584 85006 89480 150097 170012 178960 212515 300194 340024 357920 425030 600388 680048 750485 850060 1200776 1360096 1500970 1700120 2401552 2851843 3001940 3400240 4803104 5703686 6003880 6800480 11407372 12007760 14259215 22814744 24015520 28518430 45629488 57036860 91258976 114073720 228147440 335766989 456294880 671533978 1343067956 1678834945 2686135912 3357669890 5372271824 6379572791 6715339780 10744543648 12759145582 13430679560 25518291164 26861359120 31897863955 51036582328 53722718240 63795727910 102073164656 127591455820 204146329312 255182911640 510365823280 1020731646560