Search a number
-
+
65349361920 = 2835138112323
BaseRepresentation
bin111100110111001000…
…000010000100000000
320020200022100112202210
4330313020002010000
52032313414040140
650004315342120
74502263261023
oct746710020400
9206608315683
1065349361920
1125795013927
12107b9451940
136215aaa6bb
14323d0d71ba
151a771b8d80
hexf37202100

65349361920 has 144 divisors (see below), whose sum is σ = 208877602752. Its totient is φ = 17412464640.

The previous prime is 65349361873. The next prime is 65349361933. The reversal of 65349361920 is 2916394356.

It is a super-2 number, since 2×653493619202 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 65349361920.

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, 5296879 + ... + 5309201.

It is an arithmetic number, because the mean of its divisors is an integer number (1450538908).

Almost surely, 265349361920 is an apocalyptic number.

65349361920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65349361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104438801376).

65349361920 is an abundant number, since it is smaller than the sum of its proper divisors (143528240832).

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

65349361920 is a wasteful number, since it uses less digits than its factorization.

65349361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13728 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 65349361920 in words is "sixty-five billion, three hundred forty-nine million, three hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1381 1920 2762 3840 4143 5524 6905 8286 11048 12323 13810 16572 20715 22096 24646 27620 33144 36969 41430 44192 49292 55240 61615 66288 73938 82860 88384 98584 110480 123230 132576 147876 165720 176768 184845 197168 220960 246460 265152 295752 331440 353536 369690 394336 441920 492920 530304 591504 662880 739380 788672 883840 985840 1060608 1183008 1325760 1478760 1577344 1767680 1971680 2366016 2651520 2957520 3154688 3943360 4732032 5303040 5915040 7886720 9464064 11830080 15773440 17018063 23660160 34036126 47320320 51054189 68072252 85090315 102108378 136144504 170180630 204216756 255270945 272289008 340361260 408433512 510541890 544578016 680722520 816867024 1021083780 1089156032 1361445040 1633734048 2042167560 2178312064 2722890080 3267468096 4084335120 4356624128 5445780160 6534936192 8168670240 10891560320 13069872384 16337340480 21783120640 32674680960 65349361920