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41990587272 = 2334118154869
BaseRepresentation
bin100111000110110101…
…011000001110001000
311000101101200211220000
4213012311120032020
51141444042243042
631142404003000
73014365050144
oct470665301610
9130341624800
1041990587272
1116898656797
12817a690460
133c625b245a
142064ad6224
15115b63a74c
hex9c6d58388

41990587272 has 80 divisors (see below), whose sum is σ = 117714257100. Its totient is φ = 13984755840.

The previous prime is 41990587267. The next prime is 41990587279. The reversal of 41990587272 is 27278509914.

41990587272 is a `hidden beast` number, since 419 + 90 + 5 + 8 + 72 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41981551236 + 9036036 = 204894^2 + 3006^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41990587279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 737854 + ... + 792722.

Almost surely, 241990587272 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 41990587272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58857128550).

41990587272 is an abundant number, since it is smaller than the sum of its proper divisors (75723669828).

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

41990587272 is a wasteful number, since it uses less digits than its factorization.

41990587272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56068 (or 56055 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 41990587272 in words is "forty-one billion, nine hundred ninety million, five hundred eighty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1181 2362 3543 4724 7086 9448 10629 14172 21258 28344 31887 42516 54869 63774 85032 95661 109738 127548 164607 191322 219476 255096 329214 382644 438952 493821 658428 765288 987642 1316856 1481463 1975284 2962926 3950568 4444389 5925852 8888778 11851704 17777556 35555112 64800289 129600578 194400867 259201156 388801734 518402312 583202601 777603468 1166405202 1555206936 1749607803 2332810404 3499215606 4665620808 5248823409 6998431212 10497646818 13996862424 20995293636 41990587272