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3349347722644 = 22721123312178823
BaseRepresentation
bin110000101111010100101…
…011100110010110010100
3102212012020210122100111111
4300233110223212112110
5414333431004111034
611042400305344404
7463660646622100
oct60572453462624
912765223570444
103349347722644
1110814a5521430
12461161938104
131b3ac422aaa1
14b8175c94900
155c1ce3a0364
hex30bd4ae6594

3349347722644 has 144 divisors (see below), whose sum is σ = 8011936751616. Its totient is φ = 1207938916800.

The previous prime is 3349347722593. The next prime is 3349347722647. The reversal of 3349347722644 is 4462277439433.

3349347722644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33493477226442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349347722647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447817 + ... + 2626639.

It is an arithmetic number, because the mean of its divisors is an integer number (55638449664).

Almost surely, 23349347722644 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 3349347722644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005968375808).

3349347722644 is an abundant number, since it is smaller than the sum of its proper divisors (4662589028972).

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

3349347722644 is a wasteful number, since it uses less digits than its factorization.

3349347722644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178906 (or 2178897 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 58.

The spelling of 3349347722644 in words is "three trillion, three hundred forty-nine billion, three hundred forty-seven million, seven hundred twenty-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 31 44 46 49 62 77 92 98 124 154 161 196 217 253 308 322 341 434 506 539 644 682 713 868 1012 1078 1127 1364 1426 1519 1771 2156 2254 2387 2852 3038 3542 4508 4774 4991 6076 7084 7843 9548 9982 12397 15686 16709 19964 24794 31372 33418 34937 49588 54901 66836 69874 109802 139748 219604 384307 768614 1537228 2178823 4357646 8715292 15251761 23967053 30503522 47934106 50112929 61007044 67543513 95868212 100225858 106762327 135087026 167769371 200451716 213524654 270174052 335538742 350790503 427049308 472804591 551242219 671077484 701581006 742978643 945609182 1102484438 1174385597 1403162012 1485957286 1553500799 1891218364 2204968876 2348771194 2455533521 2971914572 3107001598 3309632137 3858695533 4697542388 4911067042 5200850501 6214003196 6619264274 7717391066 9822134084 10401701002 10874505593 13238528548 15434782132 17088508789 20803402004 21749011186 27010868731 34177017578 36405953507 43498022372 54021737462 68354035156 72811907014 76121539151 108043474924 119619561523 145623814028 152243078302 239239123046 304486156604 478478246092 837336930661 1674673861322 3349347722644