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55078457344 = 2121921932
BaseRepresentation
bin110011010010111011…
…101001000000000000
312021011111211112102121
4303102323221000000
51400300041113334
641145214254024
73656616106561
oct632273510000
9167144745377
1055078457344
11213a4398239
12a8117b7314
135269c3b781
142946db6168
151675647db4
hexcd2ee9000

55078457344 has 117 divisors (see below), whose sum is σ = 116851028553. Its totient is φ = 25954615296.

The previous prime is 55078457333. The next prime is 55078457347. The reversal of 55078457344 is 44375487055.

The square root of 55078457344 is 234688.

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., 13344870400 + 41733586944 = 115520^2 + 204288^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55078457291 and 55078457300.

It is not an unprimeable number, because it can be changed into a prime (55078457347) 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, 285380512 + ... + 285380704.

Almost surely, 255078457344 is an apocalyptic number.

55078457344 is the 234688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55078457344

55078457344 is an abundant number, since it is smaller than the sum of its proper divisors (61772571209).

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

55078457344 is an frugal number, since it uses more digits than its factorization.

55078457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 52.

The spelling of 55078457344 in words is "fifty-five billion, seventy-eight million, four hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 193 256 304 361 386 512 608 722 772 1024 1216 1444 1544 2048 2432 2888 3088 3667 4096 4864 5776 6176 7334 9728 11552 12352 14668 19456 23104 24704 29336 37249 38912 46208 49408 58672 69673 74498 77824 92416 98816 117344 139346 148996 184832 197632 234688 278692 297992 369664 395264 469376 557384 595984 707731 739328 790528 938752 1114768 1191968 1415462 1478656 1877504 2229536 2383936 2830924 3755008 4459072 4767872 5661848 7510016 8918144 9535744 11323696 13446889 15020032 17836288 19071488 22647392 26893778 35672576 38142976 45294784 53787556 71345152 76285952 90589568 107575112 142690304 152571904 181179136 215150224 285380608 362358272 430300448 724716544 860600896 1449433088 1721201792 2898866176 3442403584 6884807168 13769614336 27539228672 55078457344