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54423290944 = 261142412
BaseRepresentation
bin110010101011111000…
…011000010001000000
312012110212000122002101
4302223320120101000
51342424330302234
641000212000144
73634442224501
oct625370302100
9165425018071
1054423290944
1121098590000
12a66a300054
135194299049
1428c3d8cba8
151637d7e814
hexcabe18440

54423290944 has 105 divisors (see below), whose sum is σ = 119290073205. Its totient is φ = 24635212800.

The previous prime is 54423290893. The next prime is 54423290953. The reversal of 54423290944 is 44909232445.

The square root of 54423290944 is 233288.

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., 40930145344 + 13493145600 = 202312^2 + 116160^2 .

It is a super-2 number, since 2×544232909442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54423290894 and 54423290903.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 225822664 + ... + 225822904.

Almost surely, 254423290944 is an apocalyptic number.

54423290944 is the 233288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54423290944

54423290944 is an abundant number, since it is smaller than the sum of its proper divisors (64866782261).

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

54423290944 is an frugal number, since it uses more digits than its factorization.

54423290944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 54423290944 in words is "fifty-four billion, four hundred twenty-three million, two hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 241 242 352 482 484 704 964 968 1331 1928 1936 2651 2662 3856 3872 5302 5324 7712 7744 10604 10648 14641 15424 21208 21296 29161 29282 42416 42592 58081 58322 58564 84832 85184 116162 116644 117128 169664 232324 233288 234256 320771 464648 466576 468512 638891 641542 929296 933152 937024 1277782 1283084 1858592 1866304 2555564 2566168 3528481 3717184 5111128 5132336 7027801 7056962 10222256 10264672 14055602 14113924 20444512 20529344 28111204 28227848 40889024 56222408 56455696 77305811 112444816 112911392 154611622 224889632 225822784 309223244 449779264 618446488 850363921 1236892976 1700727842 2473785952 3401455684 4947571904 6802911368 13605822736 27211645472 54423290944