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46085780480 = 210531290359
BaseRepresentation
bin101010111010111011…
…010011010000000000
311101221210112012212112
4222322323103100000
51223340424433410
633101014114452
73221022446015
oct527273232000
9141853465775
1046085780480
11185aa248a93
128b2204ba28
134465b537bc
14233294970c
1512eae16105
hexabaed3400

46085780480 has 88 divisors (see below), whose sum is σ = 114118448640. Its totient is φ = 17839595520.

The previous prime is 46085780479. The next prime is 46085780509. The reversal of 46085780480 is 8408758064.

It is a congruent number.

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, 13541 + ... + 303899.

Almost surely, 246085780480 is an apocalyptic number.

46085780480 is a gapful number since it is divisible by the number (40) 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 46085780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57059224320).

46085780480 is an abundant number, since it is smaller than the sum of its proper divisors (68032668160).

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

46085780480 is a wasteful number, since it uses less digits than its factorization.

46085780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290415 (or 290397 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 46085780480 in words is "forty-six billion, eighty-five million, seven hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2480 2560 3968 4960 5120 7936 9920 15872 19840 31744 39680 79360 158720 290359 580718 1161436 1451795 2322872 2903590 4645744 5807180 9001129 9291488 11614360 18002258 18582976 23228720 36004516 37165952 45005645 46457440 72009032 74331904 90011290 92914880 144018064 148663808 180022580 185829760 288036128 297327616 360045160 371659520 576072256 720090320 743319040 1152144512 1440180640 1486638080 2304289024 2880361280 4608578048 5760722560 9217156096 11521445120 23042890240 46085780480