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53399979648 = 273441125621
BaseRepresentation
bin110001101110111000…
…110000011010000000
312002211112111000220000
4301232320300122000
51333330343322043
640310454520000
73600205223601
oct615670603200
9162745430800
1053399979648
1120712995094
12a423666000
1350602894c2
1428280d3da8
1515c80e62d3
hexc6ee30680

53399979648 has 160 divisors (see below), whose sum is σ = 162794806020. Its totient is φ = 17365708800.

The previous prime is 53399979629. The next prime is 53399979649. The reversal of 53399979648 is 84697999335.

It can be written as a sum of positive squares in 2 ways, for example, as 45696757824 + 7703221824 = 213768^2 + 87768^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (53399979649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362278 + ... + 487898.

Almost surely, 253399979648 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 53399979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81397403010).

53399979648 is an abundant number, since it is smaller than the sum of its proper divisors (109394826372).

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

53399979648 is a wasteful number, since it uses less digits than its factorization.

53399979648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125688 (or 125667 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 53399979648 in words is "fifty-three billion, three hundred ninety-nine million, nine hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 13284 15744 17712 23616 26568 35424 47232 53136 70848 106272 125621 141696 212544 251242 376863 425088 502484 753726 1004968 1130589 1507452 2009936 2261178 3014904 3391767 4019872 4522356 5150461 6029808 6783534 8039744 9044712 10175301 10300922 12059616 13567068 15451383 16079488 18089424 20350602 20601844 24119232 27134136 30902766 36178848 40701204 41203688 46354149 48238464 54268272 61805532 72357696 81402408 82407376 92708298 108536544 123611064 139062447 144715392 162804816 164814752 185416596 217073088 247222128 278124894 325609632 329629504 370833192 417187341 434146176 494444256 556249788 651219264 659259008 741666384 834374682 988888512 1112499576 1302438528 1483332768 1668749364 1977777024 2224999152 2966665536 3337498728 4449998304 5933331072 6674997456 8899996608 13349994912 17799993216 26699989824 53399979648