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54726342656 = 211192948497
BaseRepresentation
bin110010111101111100…
…011011100000000000
312020020222021020212212
4302331330123200000
51344034420431111
641050235241252
73645112144256
oct627574334000
9166228236785
1054726342656
1121233659267
12a7338a9228
135211cc4b9b
1429123185d6
15165479298b
hexcbdf1b800

54726342656 has 96 divisors (see below), whose sum is σ = 119159586000. Its totient is φ = 25028591616.

The previous prime is 54726342647. The next prime is 54726342661. The reversal of 54726342656 is 65624362745.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104200 + ... + 1152696.

Almost surely, 254726342656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54726342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579793000).

54726342656 is an abundant number, since it is smaller than the sum of its proper divisors (64433243344).

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

54726342656 is a wasteful number, since it uses less digits than its factorization.

54726342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48567 (or 48547 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 50.

The spelling of 54726342656 in words is "fifty-four billion, seven hundred twenty-six million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 464 512 551 608 928 1024 1102 1216 1856 2048 2204 2432 3712 4408 4864 7424 8816 9728 14848 17632 19456 29696 35264 38912 48497 59392 70528 96994 141056 193988 282112 387976 564224 775952 921443 1128448 1406413 1551904 1842886 2812826 3103808 3685772 5625652 6207616 7371544 11251304 12415232 14743088 22502608 24830464 26721847 29486176 45005216 49660928 53443694 58972352 90010432 99321856 106887388 117944704 180020864 213774776 235889408 360041728 427549552 471778816 720083456 855099104 943557632 1440166912 1710198208 1887115264 2880333824 3420396416 6840792832 13681585664 27363171328 54726342656