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66434586240 = 2735113145577
BaseRepresentation
bin111101110111110011…
…110101011010000000
320100110221101122200010
4331313303311122000
52042024223224430
650304123424520
74541211444231
oct756763653200
9210427348603
1066434586240
11261a1656a30
1210a60985140
136359886b79
1433032ab088
151adc5d1cb0
hexf77cf5680

66434586240 has 128 divisors (see below), whose sum is σ = 231011248320. Its totient is φ = 16105349120.

The previous prime is 66434586221. The next prime is 66434586259. The reversal of 66434586240 is 4268543466.

It is an interprime number because it is at equal distance from previous prime (66434586221) and next prime (66434586259).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66434586240.

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, 1551669 + ... + 1593908.

Almost surely, 266434586240 is an apocalyptic number.

66434586240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66434586240 is an abundant number, since it is smaller than the sum of its proper divisors (164576662080).

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

66434586240 is a wasteful number, since it uses less digits than its factorization.

66434586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145610 (or 3145598 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 66434586240 in words is "sixty-six billion, four hundred thirty-four million, five hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 3145577 6291154 9436731 12582308 15727885 18873462 25164616 31455770 34601347 37746924 47183655 50329232 62911540 69202694 75493848 94367310 100658464 103804041 125823080 138405388 150987696 173006735 188734620 201316928 207608082 251646160 276810776 301975392 346013470 377469240 402633856 415216164 503292320 519020205 553621552 603950784 692026940 754938480 830432328 1006584640 1038040410 1107243104 1207901568 1384053880 1509876960 1660864656 2013169280 2076080820 2214486208 2768107760 3019753920 3321729312 4152161640 4428972416 5536215520 6039507840 6643458624 8304323280 11072431040 13286917248 16608646560 22144862080 33217293120 66434586240