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20248059672 = 23333713718493
BaseRepresentation
bin10010110110111000…
…001101111100011000
31221021010022000011000
4102312320031330120
5312432000402142
613145110105000
71314523444641
oct226670157430
957233260130
1020248059672
118650557a15
123b1104b160
131ba8bbb0c9
14da12186c8
157d791a14c
hex4b6e0df18

20248059672 has 128 divisors (see below), whose sum is σ = 58189521600. Its totient is φ = 6518651904.

The previous prime is 20248059659. The next prime is 20248059677. The reversal of 20248059672 is 27695084202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20248059677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085658 + ... + 1104150.

Almost surely, 220248059672 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 20248059672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29094760800).

20248059672 is an abundant number, since it is smaller than the sum of its proper divisors (37941461928).

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

20248059672 is a wasteful number, since it uses less digits than its factorization.

20248059672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18682 (or 18672 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20248059672 in words is "twenty billion, two hundred forty-eight million, fifty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 137 148 216 222 274 296 333 411 444 548 666 822 888 999 1096 1233 1332 1644 1998 2466 2664 3288 3699 3996 4932 5069 7398 7992 9864 10138 14796 15207 18493 20276 29592 30414 36986 40552 45621 55479 60828 73972 91242 110958 121656 136863 147944 166437 182484 221916 273726 332874 364968 443832 499311 547452 665748 684241 998622 1094904 1331496 1368482 1997244 2052723 2533541 2736964 3994488 4105446 5067082 5473928 6158169 7600623 8210892 10134164 12316338 15201246 16421784 18474507 20268328 22801869 24632676 30402492 36949014 45603738 49265352 60804984 68405607 73898028 91207476 93741017 136811214 147796056 182414952 187482034 273622428 281223051 374964068 547244856 562446102 749928136 843669153 1124892204 1687338306 2249784408 2531007459 3374676612 5062014918 6749353224 10124029836 20248059672