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66029741440 = 2751359134513
BaseRepresentation
bin111101011111101011…
…011110010110000000
320022102201121102000021
4331133223132112000
52040212103211230
650200022303224
74525164353545
oct753753362600
9208381542007
1066029741440
1126004082053
1210969287b14
1362c3a3a330
1432a5604bcc
151ab6cb2c7a
hexf5fade580

66029741440 has 128 divisors (see below), whose sum is σ = 172877392800. Its totient is φ = 23966810112.

The previous prime is 66029741417. The next prime is 66029741441. The reversal of 66029741440 is 4414792066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66029741441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423624 + ... + 558136.

Almost surely, 266029741440 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 66029741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86438696400).

66029741440 is an abundant number, since it is smaller than the sum of its proper divisors (106847651360).

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

66029741440 is a wasteful number, since it uses less digits than its factorization.

66029741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134604 (or 134592 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 66029741440 in words is "sixty-six billion, twenty-nine million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 128 130 160 208 236 260 295 320 416 472 520 590 640 767 832 944 1040 1180 1534 1664 1888 2080 2360 3068 3776 3835 4160 4720 6136 7552 7670 8320 9440 12272 15340 18880 24544 30680 37760 49088 61360 98176 122720 134513 245440 269026 490880 538052 672565 1076104 1345130 1748669 2152208 2690260 3497338 4304416 5380520 6994676 7936267 8608832 8743345 10761040 13989352 15872534 17217664 17486690 21522080 27978704 31745068 34973380 39681335 43044160 55957408 63490136 69946760 79362670 86088320 103171471 111914816 126980272 139893520 158725340 206342942 223829632 253960544 279787040 317450680 412685884 507921088 515857355 559574080 634901360 825371768 1015842176 1031714710 1119148160 1269802720 1650743536 2063429420 2539605440 3301487072 4126858840 5079210880 6602974144 8253717680 13205948288 16507435360 33014870720 66029741440