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3977750016 = 29321945433
BaseRepresentation
bin1110110100010111…
…1010011000000000
3101021012211122012200
43231011322120000
531121301000031
61454412553200
7200400213552
oct35505723000
911235748180
103977750016
111761377509
12930182800
134b5131146
1429a4014d2
1518432c8e6
hexed17a600

3977750016 has 120 divisors (see below), whose sum is σ = 12084535320. Its totient is φ = 1256103936.

The previous prime is 3977749991. The next prime is 3977750033. The reversal of 3977750016 is 6100577793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64836 + ... + 110268.

It is an arithmetic number, because the mean of its divisors is an integer number (100704461).

Almost surely, 23977750016 is an apocalyptic number.

3977750016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3977750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042267660).

3977750016 is an abundant number, since it is smaller than the sum of its proper divisors (8106785304).

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

3977750016 is a wasteful number, since it uses less digits than its factorization.

3977750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45476 (or 45457 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 3977750016 is about 63069.4063393655. The cubic root of 3977750016 is about 1584.4522736677.

The spelling of 3977750016 in words is "three billion, nine hundred seventy-seven million, seven hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 45433 87552 90866 136299 181732 272598 363464 408897 545196 726928 817794 863227 1090392 1453856 1635588 1726454 2180784 2589681 2907712 3271176 3452908 4361568 5179362 5815424 6542352 6905816 7769043 8723136 10358724 11630848 13084704 13811632 15538086 17446272 20717448 23261696 26169408 27623264 31076172 34892544 41434896 52338816 55246528 62152344 69785088 82869792 104677632 110493056 124304688 165739584 209355264 220986112 248609376 331479168 441972224 497218752 662958336 994437504 1325916672 1988875008 3977750016