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3381248001648 = 243117387724367
BaseRepresentation
bin110001001101000010000…
…101100000011001110000
3102222020120222122102121110
4301031002011200121300
5420344243442023043
611105153543153320
7466200322542006
oct61150205403160
912866528572543
103381248001648
111093a85391180
12467385145840
131b6b091c371a
14b992083aa76
155ce49c3eb33
hex31342160670

3381248001648 has 80 divisors (see below), whose sum is σ = 9659505609216. Its totient is φ = 1010584696320.

The previous prime is 3381248001643. The next prime is 3381248001689. The reversal of 3381248001648 is 8461008421833.

It is a super-2 number, since 2×33812480016482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3381248001597 and 3381248001606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381248001643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43823640 + ... + 43900727.

Almost surely, 23381248001648 is an apocalyptic number.

It is an amenable number.

3381248001648 is an abundant number, since it is smaller than the sum of its proper divisors (6278257607568).

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

3381248001648 is a wasteful number, since it uses less digits than its factorization.

3381248001648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87724462 (or 87724456 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 3381248001648 in words is "three trillion, three hundred eighty-one billion, two hundred forty-eight million, one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 528 584 803 876 1168 1606 1752 2409 3212 3504 4818 6424 9636 12848 19272 38544 87724367 175448734 263173101 350897468 526346202 701794936 964968037 1052692404 1403589872 1929936074 2105384808 2894904111 3859872148 4210769616 5789808222 6403878791 7719744296 11579616444 12807757582 15439488592 19211636373 23159232888 25615515164 38423272746 46318465776 51231030328 70442666701 76846545492 102462060656 140885333402 153693090984 211328000103 281770666804 307386181968 422656000206 563541333608 845312000412 1127082667216 1690624000824 3381248001648