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4196891913472 = 28313475632707
BaseRepresentation
bin111101000100101010010…
…000000110110100000000
3112212012220121120020020201
4331010222100012310000
51022230213312212342
612532005303014544
7612133615442266
oct75045220066400
915765817506221
104196891913472
11137898a088415
1257947673a454
132459c421ac4b
141071b8720436
1574286639db7
hex3d12a406d00

4196891913472 has 144 divisors (see below), whose sum is σ = 8691162826752. Its totient is φ = 2020558510080.

The previous prime is 4196891913451. The next prime is 4196891913493. The reversal of 4196891913472 is 2743191986914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4196891913451) and next prime (4196891913493).

It is a super-2 number, since 2×41968919134722 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1550383543 + ... + 1550386249.

It is an arithmetic number, because the mean of its divisors is an integer number (60355297408).

Almost surely, 24196891913472 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 4196891913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345581413376).

4196891913472 is an abundant number, since it is smaller than the sum of its proper divisors (4494270913280).

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

4196891913472 is a wasteful number, since it uses less digits than its factorization.

4196891913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3650 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 64.

The spelling of 4196891913472 in words is "four trillion, one hundred ninety-six billion, eight hundred ninety-one million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 347 496 563 694 992 1126 1388 1984 2252 2707 2776 3968 4504 5414 5552 7936 9008 10757 10828 11104 17453 18016 21514 21656 22208 34906 36032 43028 43312 44416 69812 72064 83917 86056 86624 88832 139624 144128 167834 172112 173248 195361 279248 335668 344224 346496 390722 558496 671336 688448 692992 781444 939329 1116992 1342672 1376896 1524041 1562888 1878658 2233984 2685344 2753792 3048082 3125776 3757316 4467968 5370688 6056191 6096164 6251552 7514632 10741376 12112382 12192328 12503104 15029264 21482752 24224764 24384656 25006208 29119199 30058528 47245271 48449528 48769312 50012416 58238398 60117056 94490542 96899056 97538624 116476796 120234112 188981084 193798112 195077248 232953592 240468224 377962168 387596224 390154496 465907184 528842227 755924336 775192448 931814368 1057684454 1511848672 1550384896 1863628736 2115368908 3023697344 3727257472 4230737816 6047394688 7454514944 8461475632 12094789376 16394109037 16922951264 32788218074 33845902528 65576436148 67691805056 131152872296 135383610112 262305744592 524611489184 1049222978368 2098445956736 4196891913472