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52607613840 = 24351743299861
BaseRepresentation
bin110000111111101010…
…000111101110010000
312000210022111200100020
4300333222013232100
51330220022120330
640100111423440
73541444224315
oct607752075620
9160708450306
1052607613840
1120346698a11
12a242224b80
134c6507a3b2
142790b94d0c
15157d77b210
hexc3fa87b90

52607613840 has 160 divisors (see below), whose sum is σ = 176693083776. Its totient is φ = 12896378880.

The previous prime is 52607613809. The next prime is 52607613847. The reversal of 52607613840 is 4831670625.

It is a super-2 number, since 2×526076138402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52607613792 and 52607613801.

It is not an unprimeable number, because it can be changed into a prime (52607613847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25510 + ... + 325370.

Almost surely, 252607613840 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 52607613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88346541888).

52607613840 is an abundant number, since it is smaller than the sum of its proper divisors (124085469936).

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

52607613840 is a wasteful number, since it uses less digits than its factorization.

52607613840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299937 (or 299931 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 52607613840 in words is "fifty-two billion, six hundred seven million, six hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 43 48 51 60 68 80 85 86 102 120 129 136 170 172 204 215 240 255 258 272 340 344 408 430 510 516 645 680 688 731 816 860 1020 1032 1290 1360 1462 1720 2040 2064 2193 2580 2924 3440 3655 4080 4386 5160 5848 7310 8772 10320 10965 11696 14620 17544 21930 29240 35088 43860 58480 87720 175440 299861 599722 899583 1199444 1499305 1799166 2398888 2998610 3598332 4497915 4797776 5097637 5997220 7196664 8995830 10195274 11994440 12894023 14393328 15292911 17991660 20390548 23988880 25488185 25788046 30585822 35983320 38682069 40781096 50976370 51576092 61171644 64470115 71966640 76464555 77364138 81562192 101952740 103152184 122343288 128940230 152929110 154728276 193410345 203905480 206304368 219198391 244686576 257880460 305858220 309456552 386820690 407810960 438396782 515760920 611716440 618913104 657595173 773641380 876793564 1031521840 1095991955 1223432880 1315190346 1547282760 1753587128 2191983910 2630380692 3094565520 3287975865 3507174256 4383967820 5260761384 6575951730 8767935640 10521522768 13151903460 17535871280 26303806920 52607613840