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83066492736 = 263425396311
BaseRepresentation
bin100110101011100100…
…1100001011101000000
321221102001021001020000
41031113021201131000
52330110010231421
6102054335120000
76000315352443
oct1152711413500
9257361231200
1083066492736
11322569624a7
1214122973000
137aaa52a666
14404012d65a
1522627e9226
hex1357261740

83066492736 has 140 divisors (see below), whose sum is σ = 246371120160. Its totient is φ = 27673539840.

The previous prime is 83066492699. The next prime is 83066492741. The reversal of 83066492736 is 63729466038.

83066492736 is a `hidden beast` number, since 8 + 306 + 64 + 9 + 273 + 6 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13159021 + ... + 13165331.

Almost surely, 283066492736 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 83066492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123185560080).

83066492736 is an abundant number, since it is smaller than the sum of its proper divisors (163304627424).

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

83066492736 is a wasteful number, since it uses less digits than its factorization.

83066492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 83066492736 in words is "eighty-three billion, sixty-six million, four hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2539 2592 5078 5184 6311 7617 10156 12622 15234 18933 20312 22851 25244 30468 37866 40624 45702 50488 56799 60936 68553 75732 81248 91404 100976 113598 121872 137106 151464 162496 170397 182808 201952 205659 227196 243744 274212 302928 340794 365616 403904 411318 454392 487488 511191 548424 605856 681588 731232 822636 908784 1022382 1096848 1211712 1363176 1462464 1645272 1817568 2044764 2193696 2726352 3290544 3635136 4089528 4387392 5452704 6581088 8179056 10905408 13162176 16023629 16358112 32047258 32716224 48070887 64094516 96141774 128189032 144212661 192283548 256378064 288425322 384567096 432637983 512756128 576850644 769134192 865275966 1025512256 1153701288 1297913949 1538268384 1730551932 2307402576 2595827898 3076536768 3461103864 4614805152 5191655796 6922207728 9229610304 10383311592 13844415456 20766623184 27688830912 41533246368 83066492736