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40472580204 = 2235717349903
BaseRepresentation
bin100101101100010110…
…101001000001101100
310212110121022002200000
4211230112221001230
51130341440031304
630332015504300
72631643153440
oct455426510154
9125417262600
1040472580204
11161897975a1
127a16228090
133a7cc56c14
141d5d266820
1510bd235939
hex96c5a906c

40472580204 has 144 divisors (see below), whose sum is σ = 128383976448. Its totient is φ = 10883351808.

The previous prime is 40472580179. The next prime is 40472580209. The reversal of 40472580204 is 40208527404.

40472580204 is a `hidden beast` number, since 4 + 0 + 4 + 72 + 580 + 2 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40472580209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59284 + ... + 290619.

It is an arithmetic number, because the mean of its divisors is an integer number (891555392).

Almost surely, 240472580204 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 40472580204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64191988224).

40472580204 is an abundant number, since it is smaller than the sum of its proper divisors (87911396244).

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

40472580204 is a wasteful number, since it uses less digits than its factorization.

40472580204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349946 (or 349932 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40472580204 in words is "forty billion, four hundred seventy-two million, five hundred eighty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2754 3213 3402 4131 4284 5508 6426 6804 8262 9639 12852 16524 19278 28917 38556 57834 115668 349903 699806 1049709 1399612 2099418 2449321 3149127 4198836 4898642 5948351 6298254 7347963 9447381 9797284 11896702 12596508 14695926 17845053 18894762 22043889 23793404 28342143 29391852 35690106 37789524 41638457 44087778 53535159 56684286 66131667 71380212 83276914 85026429 88175556 107070318 113368572 124915371 132263334 160605477 166553828 170052858 198395001 214140636 249830742 264526668 321210954 340105716 374746113 396790002 481816431 499661484 595185003 642421908 749492226 793580004 963632862 1124238339 1190370006 1445449293 1498984452 1927265724 2248476678 2380740012 2890898586 3372715017 4496953356 5781797172 6745430034 10118145051 13490860068 20236290102 40472580204