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3324625053744 = 2431722385721319
BaseRepresentation
bin110000011000010011000…
…110000110100000110000
3102202211102211120122102210
4300120103012012200300
5413432313003204434
611023151153012120
7462124210454151
oct60302306064060
912684384518383
103324625053744
111071a69196365
12458402254040
131b16842b6217
14b6cac69d928
155b733c0eee9
hex30613186830

3324625053744 has 160 divisors (see below), whose sum is σ = 9145694638080. Its totient is φ = 1037082157056.

The previous prime is 3324625053733. The next prime is 3324625053751. The reversal of 3324625053744 is 4473505264233.

It is a super-2 number, since 2×33246250537442 (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 = 3324625053693 and 3324625053702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155935917 + ... + 155957235.

It is an arithmetic number, because the mean of its divisors is an integer number (57160591488).

Almost surely, 23324625053744 is an apocalyptic number.

3324625053744 is a gapful number since it is divisible by the number (34) 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 3324625053744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572847319040).

3324625053744 is an abundant number, since it is smaller than the sum of its proper divisors (5821069584336).

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

3324625053744 is a wasteful number, since it uses less digits than its factorization.

3324625053744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427 (or 22421 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 48.

The spelling of 3324625053744 in words is "three trillion, three hundred twenty-four billion, six hundred twenty-five million, fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 223 272 408 446 669 816 857 892 1338 1714 1784 2571 2676 3428 3568 3791 5142 5352 6856 7582 10284 10704 11373 13712 14569 15164 20568 21319 22746 29138 30328 41136 42638 43707 45492 58276 60656 63957 85276 87414 90984 116552 127914 170552 174828 181968 191111 233104 255828 341104 349656 362423 382222 511656 573333 699312 724846 764444 1023312 1087269 1146666 1449692 1528888 2174538 2293332 2899384 3057776 3248887 4349076 4586664 4754137 5798768 6497774 8698152 9173328 9508274 9746661 12995548 14262411 17396304 18270383 19016548 19493322 25991096 28524822 36540766 38033096 38986644 51982192 54811149 57049644 73081532 76066192 77973288 80820329 109622298 114099288 146163064 155946576 161640658 219244596 228198576 242460987 292326128 310596511 323281316 438489192 484921974 621193022 646562632 876978384 931789533 969843948 1242386044 1293125264 1863579066 1939687896 2484772088 3727158132 3879375792 4074295409 4969544176 7454316264 8148590818 12222886227 14908632528 16297181636 24445772454 32594363272 48891544908 65188726544 69263021953 97783089816 138526043906 195566179632 207789065859 277052087812 415578131718 554104175624 831156263436 1108208351248 1662312526872 3324625053744