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10022074366756 = 22232688212
BaseRepresentation
bin1001000111010111001000…
…1011101011101100100100
31022111002201121001021022111
42101311302023223230210
52303200202014214011
633152024415210404
72053033226354554
oct221656213535444
938432647037274
1010022074366756
113214379783531
12115a418516a04
135791015177ba
142690dcb0b164
15125a6cd61121
hex91d722ebb24

10022074366756 has 27 divisors (see below), whose sum is σ = 18334599998673. Its totient is φ = 4793096354640.

The previous prime is 10022074366741. The next prime is 10022074366783. The reversal of 10022074366756 is 65766347022001.

The square root of 10022074366756 is 3165766.

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

10022074366756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 291248356 + 10021783118400 = 17066^2 + 3165720^2 .

It is a super-2 number, since 2×100220743667562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145590826 + ... + 145659646.

Almost surely, 210022074366756 is an apocalyptic number.

10022074366756 is the 3165766-th square number.

It is an amenable number.

10022074366756 is a deficient number, since it is larger than the sum of its proper divisors (8312525631917).

10022074366756 is an frugal number, since it uses more digits than its factorization.

10022074366756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137692 (or 68846 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

Multiplying 10022074366756 by its sum of digits (49), we get a square (491081643971044 = 221603622).

The spelling of 10022074366756 in words is "ten trillion, twenty-two billion, seventy-four million, three hundred sixty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 23 46 92 529 1058 2116 68821 137642 275284 1582883 3165766 6331532 36406309 72812618 145625236 4736330041 9472660082 18945320164 108935590943 217871181886 435742363772 2505518591689 5011037183378 10022074366756