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241061650752 = 26313509189743
BaseRepresentation
bin1110000010000001100…
…1001110000101000000
3212001020000000200001010
43200200121032011000
512422143240311002
6302424151440520
723262506136336
oct3404031160500
9761200020033
10241061650752
119326302115a
123a877086140
1319969316040
14b94b687b56
15640d26946c
hex382064e140

241061650752 has 112 divisors (see below), whose sum is σ = 688224257280. Its totient is φ = 74026702848.

The previous prime is 241061650747. The next prime is 241061650783. The reversal of 241061650752 is 257056160142.

It is a super-2 number, since 2×2410616507522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 241061650752.

It is a congruent number.

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, 1175593 + ... + 1365335.

It is an arithmetic number, because the mean of its divisors is an integer number (6144859440).

Almost surely, 2241061650752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241061650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344112128640).

241061650752 is an abundant number, since it is smaller than the sum of its proper divisors (447162606528).

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

241061650752 is a wasteful number, since it uses less digits than its factorization.

241061650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190280 (or 190270 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 241061650752 in words is "two hundred forty-one billion, sixty-one million, six hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 509 624 832 1018 1248 1527 2036 2496 3054 4072 6108 6617 8144 12216 13234 16288 19851 24432 26468 32576 39702 48864 52936 79404 97728 105872 158808 189743 211744 317616 379486 423488 569229 635232 758972 1138458 1270464 1517944 2276916 2466659 3035888 4553832 4933318 6071776 7399977 9107664 9866636 12143552 14799954 18215328 19733272 29599908 36430656 39466544 59199816 78933088 96579187 118399632 157866176 193158374 236799264 289737561 386316748 473598528 579475122 772633496 1158950244 1255529431 1545266992 2317900488 2511058862 3090533984 3766588293 4635800976 5022117724 6181067968 7533176586 9271601952 10044235448 15066353172 18543203904 20088470896 30132706344 40176941792 60265412688 80353883584 120530825376 241061650752