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52917414960 = 24351074334759
BaseRepresentation
bin110001010010000111…
…111010110000110000
312001120220110012120210
4301102013322300300
51331333324234320
640150535504120
73552225414504
oct612207726060
9161526405523
1052917414960
11204955570a3
12a309b28040
134cb42ca377
1427bdd9a304
15159aa740e0
hexc521fac30

52917414960 has 160 divisors (see below), whose sum is σ = 165994375680. Its totient is φ = 13944213504.

The previous prime is 52917414959. The next prime is 52917414971. The reversal of 52917414960 is 6941471925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11117061 + ... + 11121819.

It is an arithmetic number, because the mean of its divisors is an integer number (1037464848).

Almost surely, 252917414960 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 52917414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82997187840).

52917414960 is an abundant number, since it is smaller than the sum of its proper divisors (113076960720).

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

52917414960 is a wasteful number, since it uses less digits than its factorization.

52917414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 52917414960 in words is "fifty-two billion, nine hundred seventeen million, four hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 433 535 642 856 866 1070 1284 1299 1605 1712 1732 2140 2165 2568 2598 3210 3464 4280 4330 4759 5136 5196 6420 6495 6928 8560 8660 9518 10392 12840 12990 14277 17320 19036 20784 23795 25680 25980 28554 34640 38072 46331 47590 51960 57108 71385 76144 92662 95180 103920 114216 138993 142770 185324 190360 228432 231655 277986 285540 370648 380720 463310 509213 555972 571080 694965 741296 926620 1018426 1111944 1142160 1389930 1527639 1853240 2036852 2060647 2223888 2546065 2779860 3055278 3706480 4073704 4121294 5092130 5559720 6110556 6181941 7638195 8147408 8242588 10184260 10303235 11119440 12221112 12363882 15276390 16485176 20368520 20606470 24442224 24727764 30552780 30909705 32970352 40737040 41212940 49455528 61105560 61819410 82425880 98911056 122211120 123638820 164851760 220489229 247277640 440978458 494555280 661467687 881956916 1102446145 1322935374 1763913832 2204892290 2645870748 3307338435 3527827664 4409784580 5291741496 6614676870 8819569160 10583482992 13229353740 17639138320 26458707480 52917414960