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120076145310648 = 233101347794917959
BaseRepresentation
bin11011010011010101100111…
…111111001011101110111000
3120202011011112000121121020010
4123103111213333023232320
5111214311421144420043
61103214115235101520
734202133550511322
oct3323254777135670
9522134460547203
10120076145310648
113529500971610a
121157368a1418a0
135200193a896c7
142191a05cbc612
15dd36c9504133
hex6d3567fcbbb8

120076145310648 has 128 divisors (see below), whose sum is σ = 304091392320000. Its totient is φ = 39507714931200.

The previous prime is 120076145310427. The next prime is 120076145310659. The reversal of 120076145310648 is 846013541670021.

It is a junction number, because it is equal to n+sod(n) for n = 120076145310597 and 120076145310606.

It is a congruent number.

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, 6686117493 + ... + 6686135451.

It is an arithmetic number, because the mean of its divisors is an integer number (2375714002500).

Almost surely, 2120076145310648 is an apocalyptic number.

It is an amenable number.

120076145310648 is an abundant number, since it is smaller than the sum of its proper divisors (184015247009352).

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

120076145310648 is a wasteful number, since it uses less digits than its factorization.

120076145310648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26365 (or 26361 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

Adding to 120076145310648 its reverse (846013541670021), we get a palindrome (966089686980669).

The spelling of 120076145310648 in words is "one hundred twenty trillion, seventy-six billion, one hundred forty-five million, three hundred ten thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 347 404 606 694 808 1041 1212 1388 2082 2424 2776 4164 7949 8328 15898 17959 23847 31796 35047 35918 47694 53877 63592 70094 71836 95388 105141 107754 140188 143672 190776 210282 215508 280376 420564 431016 802849 841128 1605698 1813859 2408547 2758303 3211396 3627718 4817094 5441577 5516606 6231773 6422792 7255436 8274909 9634188 10883154 11033212 12463546 14510872 16549818 18695319 19268376 21766308 22066424 24927092 33099636 37390638 43532616 49854184 66199272 74781276 142756091 149562552 278588603 285512182 428268273 557177206 571024364 629409073 835765809 856536546 1114354412 1142048728 1258818146 1671531618 1713073092 1888227219 2228708824 2517636292 3343063236 3426146184 3776454438 5035272584 6686126472 7552908876 14418365191 15105817752 28836730382 43255095573 49536363577 57673460764 86510191146 99072727154 115346921528 148609090731 173020382292 198145454308 297218181462 346040764584 396290908616 594436362924 1188872725848 5003172721277 10006345442554 15009518163831 20012690885108 30019036327662 40025381770216 60038072655324 120076145310648