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55384599936 = 2731943176537
BaseRepresentation
bin110011100101001011…
…011110110110000000
312021221211220012010010
4303211023132312000
51401411424144221
641235432104520
74000324221561
oct634513366600
9167854805103
1055384599936
1121541187746
12a898235140
1352b84aa433
142975908168
15169246bc76
hexce52ded80

55384599936 has 128 divisors (see below), whose sum is σ = 158460508800. Its totient is φ = 17083035648.

The previous prime is 55384599899. The next prime is 55384599943. The reversal of 55384599936 is 63999548355.

55384599936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225460 + ... + 401996.

It is an arithmetic number, because the mean of its divisors is an integer number (1237972725).

Almost surely, 255384599936 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 55384599936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79230254400).

55384599936 is an abundant number, since it is smaller than the sum of its proper divisors (103075908864).

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

55384599936 is a wasteful number, since it uses less digits than its factorization.

55384599936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176616 (or 176604 counting only the distinct ones).

The product of its digits is 157464000, while the sum is 66.

The spelling of 55384599936 in words is "fifty-five billion, three hundred eighty-four million, five hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 128 129 152 172 192 228 258 304 344 384 456 516 608 688 817 912 1032 1216 1376 1634 1824 2064 2432 2451 2752 3268 3648 4128 4902 5504 6536 7296 8256 9804 13072 16512 19608 26144 39216 52288 78432 104576 156864 176537 313728 353074 529611 706148 1059222 1412296 2118444 2824592 3354203 4236888 5649184 6708406 7591091 8473776 10062609 11298368 13416812 15182182 16947552 20125218 22596736 22773273 26833624 30364364 33895104 40250436 45546546 53667248 60728728 67790208 80500872 91093092 107334496 121457456 144230729 161001744 182186184 214668992 242914912 288461458 322003488 364372368 429337984 432692187 485829824 576922916 644006976 728744736 865384374 971659648 1153845832 1288013952 1457489472 1730768748 2307691664 2914978944 3461537496 4615383328 6923074992 9230766656 13846149984 18461533312 27692299968 55384599936