Search a number
-
+
6100152006 = 2313279271281
BaseRepresentation
bin1011010111001100…
…01110111011000110
3120202010111211101210
411223212032323012
544443114331011
62445151232250
7304111302504
oct55346167306
916663454353
106100152006
112650416543
121222b18686
13762a63800
1441c23d674
1525a81c6a6
hex16b98eec6

6100152006 has 96 divisors (see below), whose sum is σ = 13475358720. Its totient is φ = 1839801600.

The previous prime is 6100151987. The next prime is 6100152017. The reversal of 6100152006 is 6002510016.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21708586 + ... + 21708866.

It is an arithmetic number, because the mean of its divisors is an integer number (140368320).

Almost surely, 26100152006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100152006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737679360).

6100152006 is an abundant number, since it is smaller than the sum of its proper divisors (7375206714).

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

6100152006 is a wasteful number, since it uses less digits than its factorization.

6100152006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6100152006 is about 78103.4698717029. The cubic root of 6100152006 is about 1827.1753137486.

The spelling of 6100152006 in words is "six billion, one hundred million, one hundred fifty-two thousand, six".

Divisors: 1 2 3 6 13 26 39 78 79 158 169 237 271 281 338 474 507 542 562 813 843 1014 1027 1626 1686 2054 3081 3523 3653 6162 7046 7306 10569 10959 13351 21138 21409 21918 22199 26702 40053 42818 44398 45799 47489 64227 66597 76151 80106 91598 94978 128454 133194 137397 142467 152302 228453 274794 278317 284934 288587 456906 556634 577174 834951 865761 989963 1669902 1731522 1979926 2969889 3618121 3751631 5939778 6015929 7236242 7503262 10854363 11254893 12031858 12869519 18047787 21708726 22509786 25739038 36095574 38608557 77217114 78207077 156414154 234621231 469242462 1016692001 2033384002 3050076003 6100152006