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729716405920 = 25541111237257
BaseRepresentation
bin10101001111001100111…
…11001011011010100000
32120202112012011020011121
422213212133023122200
543423424344442140
61315121015022024
7103502024052325
oct12474637133240
92522465136147
10729716405920
1126151a984257
12b951066a914
1353a72b59798
1427465c0ab4c
1513eacd6364a
hexa9e67cb6a0

729716405920 has 48 divisors (see below), whose sum is σ = 1766002708008. Its totient is φ = 284767375360.

The previous prime is 729716405909. The next prime is 729716405983. The reversal of 729716405920 is 29504617927.

It can be written as a sum of positive squares in 4 ways, for example, as 541148554384 + 188567851536 = 735628^2 + 434244^2 .

It is a super-2 number, since 2×7297164059202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55612069 + ... + 55625188.

Almost surely, 2729716405920 is an apocalyptic number.

It is an amenable number.

729716405920 is an abundant number, since it is smaller than the sum of its proper divisors (1036286302088).

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

729716405920 is a wasteful number, since it uses less digits than its factorization.

729716405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111237313 (or 111237305 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 729716405920 in words is "seven hundred twenty-nine billion, seven hundred sixteen million, four hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 111237257 222474514 444949028 556186285 889898056 1112372570 1779796112 2224745140 3559592224 4449490280 4560727537 8898980560 9121455074 17797961120 18242910148 22803637685 36485820296 45607275370 72971640592 91214550740 145943281184 182429101480 364858202960 729716405920