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54607428680552 = 231129269353225343
BaseRepresentation
bin11000110101010010010000…
…11000110111101101101000
321011100102022121002002111222
430122221020120313231220
524124142003220234202
6312050150104041212
714334153663135116
oct1432511030675550
9234312277062458
1054607428680552
1116443975971970
12615b351463208
1324615c6225977
14d6b029656ab6
1564a6e7c2d4a2
hex31aa48637b68

54607428680552 has 128 divisors (see below), whose sum is σ = 116307249408000. Its totient is φ = 23808806461440.

The previous prime is 54607428680543. The next prime is 54607428680569. The reversal of 54607428680552 is 25508682470645.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242217593 + ... + 242442935.

It is an arithmetic number, because the mean of its divisors is an integer number (908650386000).

Almost surely, 254607428680552 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 54607428680552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58153624704000).

54607428680552 is an abundant number, since it is smaller than the sum of its proper divisors (61699820727448).

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

54607428680552 is a wasteful number, since it uses less digits than its factorization.

54607428680552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226011 (or 226007 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 62.

The spelling of 54607428680552 in words is "fifty-four trillion, six hundred seven billion, four hundred twenty-eight million, six hundred eighty thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 269 319 353 538 638 706 1076 1276 1412 2152 2552 2824 2959 3883 5918 7766 7801 10237 11836 15532 15602 20474 23672 31064 31204 40948 62408 81896 85811 94957 112607 171622 189914 225214 225343 343244 379828 450428 450686 686488 759656 900856 901372 1044527 1802744 2089054 2478773 2753753 4178108 4957546 5507506 6534947 8356216 9915092 11015012 13069894 19830184 22030024 26139788 30291283 52279576 60582566 60617267 71884417 79546079 121165132 121234534 143768834 159092158 242330264 242469068 287537668 318184316 484938136 575075336 636368632 666789937 875006869 1333579874 1750013738 1757900743 2306836291 2667159748 3500027476 3515801486 4613672582 5334319496 7000054952 7031602972 9227345164 14063205944 18454690328 19336908173 21397895251 25375199201 38673816346 42795790502 50750398402 77347632692 85591581004 101500796804 154695265384 171183162008 203001593608 235376847761 470753695522 620538962279 941507391044 1241077924558 1883014782088 2482155849116 4964311698232 6825928585069 13651857170138 27303714340276 54607428680552