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60414362008 = 23711213252757
BaseRepresentation
bin111000010000111110…
…100000000110011000
312202221101021120120021
4320100332200012120
51442212034041013
643430505240224
74236060414130
oct702076400630
9182841246507
1060414362008
1123692372400
12b860793074
13590a559900
142cd1915ac0
151888d01a8d
hexe10fa0198

60414362008 has 144 divisors (see below), whose sum is σ = 154089235440. Its totient is φ = 21727031040.

The previous prime is 60414361991. The next prime is 60414362011. The reversal of 60414362008 is 80026341406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1118766 + ... + 1171522.

It is an arithmetic number, because the mean of its divisors is an integer number (1070064135).

Almost surely, 260414362008 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 60414362008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77044617720).

60414362008 is an abundant number, since it is smaller than the sum of its proper divisors (93674873432).

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

60414362008 is a wasteful number, since it uses less digits than its factorization.

60414362008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52818 (or 52790 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 60414362008 in words is "sixty billion, four hundred fourteen million, three hundred sixty-two thousand, eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 169 182 242 286 308 338 364 484 572 616 676 728 847 968 1001 1144 1183 1352 1573 1694 1859 2002 2366 3146 3388 3718 4004 4732 6292 6776 7436 8008 9464 11011 12584 13013 14872 20449 22022 26026 40898 44044 52052 52757 81796 88088 104104 105514 143143 163592 211028 286286 369299 422056 572572 580327 685841 738598 1145144 1160654 1371682 1477196 2321308 2743364 2954392 4062289 4642616 4800887 5486728 6383597 7544251 8124578 8915933 9601774 12767194 15088502 16249156 17831866 19203548 25534388 30177004 32498312 35663732 38407096 44685179 51068776 52809757 60354008 62411531 71327464 82986761 89370358 98075263 105619514 124823062 165973522 178740716 196150526 211239028 249646124 331947044 357481432 392301052 422478056 499292248 580907327 663894088 686526841 784602104 1078827893 1161814654 1373053682 2157655786 2323629308 2746107364 4315311572 4647258616 5492214728 7551795251 8630623144 15103590502 30207181004 60414362008