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368743046130 = 232571139415153
BaseRepresentation
bin1010101110110101100…
…11000101101111110010
31022020210100002121001200
411113122303011233302
522020141204434010
6441222003112030
735432540114424
oct5273263055762
91266710077050
10368743046130
11132423922318
125b56b372616
1328a06a30474
1413bc0c40814
1598d2783cc0
hex55dacc5bf2

368743046130 has 96 divisors (see below), whose sum is σ = 979232042880. Its totient is φ = 96248839680.

The previous prime is 368743046029. The next prime is 368743046131. The reversal of 368743046130 is 31640347863.

368743046130 is a `hidden beast` number, since 3 + 6 + 87 + 430 + 4 + 6 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (368743046131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680634 + ... + 1095786.

It is an arithmetic number, because the mean of its divisors is an integer number (10200333780).

Almost surely, 2368743046130 is an apocalyptic number.

368743046130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368743046130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489616021440).

368743046130 is an abundant number, since it is smaller than the sum of its proper divisors (610488996750).

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

368743046130 is a wasteful number, since it uses less digits than its factorization.

368743046130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415376 (or 415373 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 368743046130 in words is "three hundred sixty-eight billion, seven hundred forty-three million, forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 139 142 213 278 355 417 426 639 695 710 834 1065 1251 1278 1390 2085 2130 2502 3195 4170 6255 6390 9869 12510 19738 29607 49345 59214 88821 98690 148035 177642 296070 415153 444105 830306 888210 1245459 2075765 2490918 3736377 4151530 6227295 7472754 12454590 18681885 29475863 37363770 57706267 58951726 88427589 115412534 147379315 173118801 176855178 265282767 288531335 294758630 346237602 442137945 519356403 530565534 577062670 865594005 884275890 1038712806 1326413835 1731188010 2596782015 2652827670 4097144957 5193564030 8194289914 12291434871 20485724785 24582869742 36874304613 40971449570 61457174355 73748609226 122914348710 184371523065 368743046130