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139753121664 = 27313191473443
BaseRepresentation
bin1000001000100111101…
…1110110011110000000
3111100201122011011100010
42002021323312132000
54242203244343124
6144111322224520
713045132635252
oct2021173663600
9440648134303
10139753121664
11542a5aa2862
1223103055140
13102426a3440
146a9a925cd2
15397e207529
hex2089ef6780

139753121664 has 128 divisors (see below), whose sum is σ = 420815606400. Its totient is φ = 40737724416.

The previous prime is 139753121653. The next prime is 139753121681. The reversal of 139753121664 is 466121357931.

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

It is a super-2 number, since 2×1397531216642 (a number of 23 digits) contains 22 as substring.

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

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, 641874 + ... + 831569.

It is an arithmetic number, because the mean of its divisors is an integer number (3287621925).

Almost surely, 2139753121664 is an apocalyptic number.

It is an amenable number.

139753121664 is an abundant number, since it is smaller than the sum of its proper divisors (281062484736).

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

139753121664 is a wasteful number, since it uses less digits than its factorization.

139753121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473492 (or 1473480 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 139753121664 in words is "one hundred thirty-nine billion, seven hundred fifty-three million, one hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3648 3952 4992 5928 7296 7904 11856 15808 23712 31616 47424 94848 1473443 2946886 4420329 5893772 8840658 11787544 17681316 19154759 23575088 27995417 35362632 38309518 47150176 55990834 57464277 70725264 76619036 83986251 94300352 111981668 114928554 141450528 153238072 167972502 188600704 223963336 229857108 282901056 306476144 335945004 363940421 447926672 459714216 565802112 612952288 671890008 727880842 895853344 919428432 1091821263 1225904576 1343780016 1455761684 1791706688 1838856864 2183642526 2451809152 2687560032 2911523368 3583413376 3677713728 4367285052 5375120064 5823046736 7355427456 8734570104 10750240128 11646093472 17469140208 23292186944 34938280416 46584373888 69876560832 139753121664