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4145054976 = 28327125339
BaseRepresentation
bin1111011100010000…
…1000010100000000
3101200212122121110200
43313010020110000
531442113224401
61523150525200
7204501246246
oct36704102400
911625577420
104145054976
111837859177
12978206800
135109ab86a
142b4712796
15193d79686
hexf7108500

4145054976 has 108 divisors (see below), whose sum is σ = 12120020640. Its totient is φ = 1362170880.

The previous prime is 4145054957. The next prime is 4145054987. The reversal of 4145054976 is 6794505414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150915 + ... + 176253.

Almost surely, 24145054976 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 4145054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060010320).

4145054976 is an abundant number, since it is smaller than the sum of its proper divisors (7974965664).

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

4145054976 is a wasteful number, since it uses less digits than its factorization.

4145054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25432 (or 25415 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4145054976 is about 64382.1013636554. The cubic root of 4145054976 is about 1606.3620359488.

The spelling of 4145054976 in words is "four billion, one hundred forty-five million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 568 576 639 768 852 1136 1152 1278 1704 2272 2304 2556 3408 4544 5112 6816 9088 10224 13632 18176 20448 25339 27264 40896 50678 54528 76017 81792 101356 152034 163584 202712 228051 304068 405424 456102 608136 810848 912204 1216272 1621696 1799069 1824408 2432544 3243392 3598138 3648816 4865088 5397207 6486784 7196276 7297632 9730176 10794414 14392552 14595264 16191621 19460352 21588828 28785104 29190528 32383242 43177656 57570208 58381056 64766484 86355312 115140416 129532968 172710624 230280832 259065936 345421248 460561664 518131872 690842496 1036263744 1381684992 2072527488 4145054976