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1048281108736 = 288927192
BaseRepresentation
bin11110100000100100110…
…11000101000100000000
310201012210111211212120111
433100102123011010000
5114133334430434421
62121323530121104
7135510245256001
oct17202233050400
93635714755514
101048281108736
113746343a2554
1214b1b7280194
1377b10ba6434
1438a467751a8
151c405274ee1
hexf4126c5100

1048281108736 has 81 divisors (see below), whose sum is σ = 2119189812901. Its totient is φ = 517530540032.

The previous prime is 1048281108671. The next prime is 1048281108737. The reversal of 1048281108736 is 6378011828401.

The square root of 1048281108736 is 1023856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 201292206336 + 846988902400 = 448656^2 + 920320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1048281108736.

It is not an unprimeable number, because it can be changed into a prime (1048281108737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1457970585 + ... + 1457971303.

Almost surely, 21048281108736 is an apocalyptic number.

1048281108736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1048281108736 is the 1023856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048281108736

1048281108736 is an abundant number, since it is smaller than the sum of its proper divisors (1070908704165).

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

1048281108736 is an frugal number, since it uses more digits than its factorization.

1048281108736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 1048281108736 by its sum of digits (49), we get a square (51365774328064 = 71669922).

The spelling of 1048281108736 in words is "one trillion, forty-eight billion, two hundred eighty-one million, one hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 719 1424 1438 2848 2876 5696 5752 7921 11392 11504 15842 22784 23008 31684 46016 63368 63991 92032 126736 127982 184064 253472 255964 506944 511928 516961 1013888 1023856 1033922 2027776 2047712 2067844 4095424 4135688 5695199 8190848 8271376 11390398 16381696 16542752 22780796 33085504 45561592 46009529 66171008 91123184 92019058 132342016 182246368 184038116 364492736 368076232 728985472 736152464 1457970944 1472304928 2944609856 4094848081 5889219712 8189696162 11778439424 16379392324 32758784648 65517569296 131035138592 262070277184 524140554368 1048281108736