Search a number
-
+
41102506998 = 23471910318521
BaseRepresentation
bin100110010001111001…
…100111101111110110
310221002111121200210000
4212101321213233312
51133134220210443
630514321212130
72653362354630
oct462171475766
9127074550700
1041102506998
1116482325953
127b71191046
133b50600377
141dbcb9da50
1511086b58d3
hex991e67bf6

41102506998 has 160 divisors (see below), whose sum is σ = 111878807040. Its totient is φ = 11016881280.

The previous prime is 41102506997. The next prime is 41102507003. The reversal of 41102506998 is 89960520114.

41102506998 is a `hidden beast` number, since 41 + 10 + 2 + 506 + 9 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41102506997) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209978 + ... + 2228498.

It is an arithmetic number, because the mean of its divisors is an integer number (699242544).

Almost surely, 241102506998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41102506998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55939403520).

41102506998 is an abundant number, since it is smaller than the sum of its proper divisors (70776300042).

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

41102506998 is a wasteful number, since it uses less digits than its factorization.

41102506998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18664 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 41102506998 in words is "forty-one billion, one hundred two million, five hundred six thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 103 114 126 133 162 171 189 206 266 309 342 378 399 513 567 618 721 798 927 1026 1134 1197 1442 1539 1854 1957 2163 2394 2781 3078 3591 3914 4326 5562 5871 6489 7182 8343 10773 11742 12978 13699 16686 17613 18521 19467 21546 27398 35226 37042 38934 41097 52839 55563 58401 82194 105678 111126 116802 123291 129647 158517 166689 246582 259294 317034 333378 351899 369873 388941 500067 703798 739746 777882 1000134 1055697 1109619 1166823 1500201 1907663 2111394 2219238 2333646 2463293 3000402 3167091 3500469 3815326 4926586 5722989 6334182 7000938 7389879 9501273 10501407 11445978 13353641 14779758 17168967 19002546 21002814 22169637 26707282 28503819 34337934 36245597 40060923 44339274 51506901 57007638 66508911 72491194 80121846 103013802 108736791 120182769 133017822 154520703 199526733 217473582 240365538 253719179 309041406 326210373 360548307 399053466 507438358 652420746 721096614 761157537 978631119 1081644921 1522315074 1957262238 2163289842 2283472611 2935893357 4566945222 5871786714 6850417833 13700835666 20551253499 41102506998