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20966551680 = 273519574741
BaseRepresentation
bin10011100001101101…
…000011000010000000
32000010012021011220010
4103201231003002000
5320414414123210
613344253544520
71341366514554
oct234155030200
960105234803
1020966551680
11898a087668
1240917a5140
131c91a033c9
14102c807864
1582aa41920
hex4e1b43080

20966551680 has 128 divisors (see below), whose sum is σ = 70348420800. Its totient is φ = 5296803840.

The previous prime is 20966551663. The next prime is 20966551681. The reversal of 20966551680 is 8615566902.

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

It is a super-2 number, since 2×209665516802 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20966551681) 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, 250891 + ... + 323850.

Almost surely, 220966551680 is an apocalyptic number.

20966551680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20966551680 is an abundant number, since it is smaller than the sum of its proper divisors (49381869120).

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

20966551680 is a wasteful number, since it uses less digits than its factorization.

20966551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574782 (or 574770 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 20966551680 in words is "twenty billion, nine hundred sixty-six million, five hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 574741 1149482 1724223 2298964 2873705 3448446 4597928 5747410 6896892 8621115 9195856 10920079 11494820 13793784 17242230 18391712 21840158 22989640 27587568 32760237 34484460 36783424 43680316 45979280 54600395 55175136 65520474 68968920 73566848 87360632 91958560 109200790 110350272 131040948 137937840 163801185 174721264 183917120 218401580 220700544 262081896 275875680 327602370 349442528 367834240 436803160 524163792 551751360 655204740 698885056 873606320 1048327584 1103502720 1310409480 1397770112 1747212640 2096655168 2620818960 3494425280 4193310336 5241637920 6988850560 10483275840 20966551680