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120346049052 = 22341733016619
BaseRepresentation
bin111000000010100101…
…1101111101000011100
3102111122010022201120000
41300011023233220130
53432432042032202
6131141453254300
711460200352525
oct1600513575034
9374563281500
10120346049052
1147047230979
121b3a7794390
13b46bab9118
145b792a584c
1531e555d91c
hex1c052efa1c

120346049052 has 120 divisors (see below), whose sum is σ = 333265973040. Its totient is φ = 37738483200.

The previous prime is 120346049051. The next prime is 120346049107. The reversal of 120346049052 is 250940643021.

It is a happy number.

120346049052 is a `hidden beast` number, since 12 + 0 + 34 + 604 + 9 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120346048998 and 120346049016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120346049051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18178599 + ... + 18185217.

It is an arithmetic number, because the mean of its divisors is an integer number (2777216442).

Almost surely, 2120346049052 is an apocalyptic number.

120346049052 is a gapful number since it is divisible by the number (12) 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 120346049052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166632986520).

120346049052 is an abundant number, since it is smaller than the sum of its proper divisors (212919923988).

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

120346049052 is a wasteful number, since it uses less digits than its factorization.

120346049052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 120346049052 in words is "one hundred twenty billion, three hundred forty-six million, forty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 3301 5508 6602 6619 9903 13204 13238 19806 19857 26476 29709 39612 39714 56117 59418 59571 79428 89127 112234 112523 118836 119142 168351 178254 178713 224468 225046 238284 267381 336702 337569 356508 357426 450092 505053 534762 536139 673404 675138 714852 1010106 1012707 1069524 1072278 1350276 1515159 2020212 2025414 2144556 3030318 3038121 4050828 4545477 6060636 6076242 9090954 9114363 12152484 18181908 18228726 21849319 36457452 43698638 65547957 87397276 131095914 196643871 262191828 371438423 393287742 589931613 742876846 786575484 1114315269 1179863226 1485753692 1769794839 2228630538 2359726452 3342945807 3539589678 4457261076 6685891614 7079179356 10028837421 13371783228 20057674842 30086512263 40115349684 60173024526 120346049052