Search a number
-
+
4051874016 = 253413111933
BaseRepresentation
bin1111000110000010…
…1011000011100000
3101110101022112020000
43301200223003200
531244234432031
61510021420000
7202260234531
oct36140530340
911411275200
104051874016
11179a1a4a13
12950b6a600
134c75b4ab8
142a61b8688
1518aac03e6
hexf182b0e0

4051874016 has 120 divisors (see below), whose sum is σ = 12008420424. Its totient is φ = 1340202240.

The previous prime is 4051873999. The next prime is 4051874023. The reversal of 4051874016 is 6104781504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333586 + ... + 345518.

Almost surely, 24051874016 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 4051874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004210212).

4051874016 is an abundant number, since it is smaller than the sum of its proper divisors (7956546408).

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

4051874016 is a wasteful number, since it uses less digits than its factorization.

4051874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12086 (or 12069 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4051874016 is about 63654.3322641908. The cubic root of 4051874016 is about 1594.2336725493.

The spelling of 4051874016 in words is "four billion, fifty-one million, eight hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 262 288 324 393 432 524 648 786 864 1048 1179 1296 1572 2096 2358 2592 3144 3537 4192 4716 6288 7074 9432 10611 11933 12576 14148 18864 21222 23866 28296 35799 37728 42444 47732 56592 71598 84888 95464 107397 113184 143196 169776 190928 214794 286392 322191 339552 381856 429588 572784 644382 859176 966573 1145568 1288764 1563223 1718352 1933146 2577528 3126446 3436704 3866292 4689669 5155056 6252892 7732584 9379338 10310112 12505784 14069007 15465168 18758676 25011568 28138014 30930336 37517352 42207021 50023136 56276028 75034704 84414042 112552056 126621063 150069408 168828084 225104112 253242126 337656168 450208224 506484252 675312336 1012968504 1350624672 2025937008 4051874016