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4979278096 = 24132232592
BaseRepresentation
bin1001010001100100…
…11100000100010000
3110212000101112110021
410220302130010100
540144143344341
62142031113224
7234251110522
oct45062340420
913760345407
104979278096
112125744371
12b6b672814
13614784a00
14353429a12
151e22119d1
hex128c9c110

4979278096 has 135 divisors (see below), whose sum is σ = 11108715429. Its totient is φ = 2160951936.

The previous prime is 4979278093. The next prime is 4979278099. The reversal of 4979278096 is 6908729794.

The square root of 4979278096 is 70564.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4979278093) and next prime (4979278099).

It can be written as a sum of positive squares in only one way, i.e., 736579600 + 4242698496 = 27140^2 + 65136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4979278093) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 84394515 + ... + 84394573.

Almost surely, 24979278096 is an apocalyptic number.

4979278096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4979278096 is the 70564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4979278096

4979278096 is an abundant number, since it is smaller than the sum of its proper divisors (6129437333).

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

4979278096 is a wasteful number, since it uses less digits than its factorization.

4979278096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The cubic root of 4979278096 is about 1707.6104119413.

The spelling of 4979278096 in words is "four billion, nine hundred seventy-nine million, two hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 59 92 104 118 169 184 208 236 299 338 368 472 529 598 676 767 944 1058 1196 1352 1357 1534 2116 2392 2704 2714 3068 3481 3887 4232 4784 5428 6136 6877 6962 7774 8464 9971 10856 12272 13754 13924 15548 17641 19942 21712 27508 27848 31096 31211 35282 39884 45253 55016 55696 62192 62422 70564 79768 80063 89401 90506 110032 124844 141128 159536 160126 178802 181012 229333 249688 282256 320252 357604 362024 405743 458666 499376 588289 640504 715208 724048 811486 917332 1040819 1176578 1281008 1430416 1622972 1834664 1841449 2081638 2353156 3245944 3669328 3682898 4163276 4706312 5274659 6491888 7365796 8326552 9412624 10549318 13530647 14731592 16653104 21098636 23938837 27061294 29463184 42197272 47877674 54122588 84394544 95755348 108245176 191510696 216490352 311204881 383021392 622409762 1244819524 2489639048 4979278096