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55967001440 = 255759278431
BaseRepresentation
bin110100000111111001…
…001010101101100000
312100110102210020210012
4310013321022231200
51404110023021230
641413315024052
74020625443260
oct640771125540
9170412706705
1055967001440
112180aa055a9
12aa1b29b028
13537c0539cc
1429ccdcd7a0
1516c8660395
hexd07e4ab60

55967001440 has 96 divisors (see below), whose sum is σ = 151154325504. Its totient is φ = 19183173120.

The previous prime is 55967001437. The next prime is 55967001451. The reversal of 55967001440 is 4410076955.

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 15 ways as a sum of consecutive naturals, for example, 6634025 + ... + 6642455.

It is an arithmetic number, because the mean of its divisors is an integer number (1574524224).

Almost surely, 255967001440 is an apocalyptic number.

It is an amenable number.

55967001440 is an abundant number, since it is smaller than the sum of its proper divisors (95187324064).

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

55967001440 is a wasteful number, since it uses less digits than its factorization.

55967001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 14372 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 55967001440 in words is "fifty-five billion, nine hundred sixty-seven million, one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 5927 8431 11854 16862 23708 29635 33724 41489 42155 47416 59017 59270 67448 82978 84310 94832 118034 118540 134896 165956 168620 189664 207445 236068 237080 269792 295085 331912 337240 414890 472136 474160 590170 663824 674480 829780 944272 948320 1180340 1327648 1348960 1659560 1888544 2360680 3319120 4721360 6638240 9442720 49970537 99941074 199882148 249852685 349793759 399764296 499705370 699587518 799528592 999410740 1399175036 1599057184 1748968795 1998821480 2798350072 3497937590 3997642960 5596700144 6995875180 7995285920 11193400288 13991750360 27983500720 55967001440