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45210636120 = 233513181160117
BaseRepresentation
bin101010000110110000…
…111000111101011000
311022200210210021111110
4222012300320331120
51220042410323440
632434112500320
73160235031516
oct520660707530
9138623707443
1045210636120
11181a0253091
128918b4a6a0
1343567506c0
14228c61d4b6
151299199080
hexa86c38f58

45210636120 has 128 divisors (see below), whose sum is σ = 146873039040. Its totient is φ = 11067217920.

The previous prime is 45210636103. The next prime is 45210636131. The reversal of 45210636120 is 2163601254.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 202302 + ... + 362418.

Almost surely, 245210636120 is an apocalyptic number.

45210636120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45210636120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73436519520).

45210636120 is an abundant number, since it is smaller than the sum of its proper divisors (101662402920).

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

45210636120 is a wasteful number, since it uses less digits than its factorization.

45210636120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160325 (or 160321 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 45210636120 in words is "forty-five billion, two hundred ten million, six hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 181 195 260 312 362 390 520 543 724 780 905 1086 1448 1560 1810 2172 2353 2715 3620 4344 4706 5430 7059 7240 9412 10860 11765 14118 18824 21720 23530 28236 35295 47060 56472 70590 94120 141180 160117 282360 320234 480351 640468 800585 960702 1280936 1601170 1921404 2081521 2401755 3202340 3842808 4163042 4803510 6244563 6404680 8326084 9607020 10407605 12489126 16652168 19214040 20815210 24978252 28981177 31222815 41630420 49956504 57962354 62445630 83260840 86943531 115924708 124891260 144905885 173887062 231849416 249782520 289811770 347774124 376755301 434717655 579623540 695548248 753510602 869435310 1130265903 1159247080 1507021204 1738870620 1883776505 2260531806 3014042408 3477741240 3767553010 4521063612 5651329515 7535106020 9042127224 11302659030 15070212040 22605318060 45210636120