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4770990774 = 2331147732341
BaseRepresentation
bin1000111000101111…
…11000101010110110
3110022111110102222000
410130113320222312
534232333201044
62105230520130
7226141516044
oct43427705266
913274412860
104770990774
112029110a90
12b11966046
135b0588584
143338cb394
151cdcbbd69
hex11c5f8ab6

4770990774 has 128 divisors (see below), whose sum is σ = 11979048960. Its totient is φ = 1395014400.

The previous prime is 4770990751. The next prime is 4770990779.

4770990774 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4770990774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4770990779) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2036844 + ... + 2039184.

It is an arithmetic number, because the mean of its divisors is an integer number (93586320).

Almost surely, 24770990774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4770990774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989524480).

4770990774 is an abundant number, since it is smaller than the sum of its proper divisors (7208058186).

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

4770990774 is a wasteful number, since it uses less digits than its factorization.

4770990774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 4770990774 is about 69072.3589723125. The cubic root of 4770990774 is about 1683.4602215583.

The spelling of 4770990774 in words is "four billion, seven hundred seventy million, nine hundred ninety thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 73 94 99 141 146 198 219 282 297 423 438 517 594 657 803 846 1034 1269 1314 1551 1606 1971 2341 2409 2538 3102 3431 3942 4653 4682 4818 6862 7023 7227 9306 10293 13959 14046 14454 20586 21069 21681 25751 27918 30879 37741 42138 43362 51502 61758 63207 75482 77253 92637 110027 113223 126414 154506 170893 185274 220054 226446 231759 330081 339669 341786 463518 512679 660162 679338 695277 990243 1019007 1025358 1210297 1390554 1538037 1879823 1980486 2038014 2420594 2970729 3076074 3630891 3759646 4614111 5639469 5941458 7261782 8031971 9228222 10892673 11278938 16063942 16918407 21785346 24095913 32678019 33836814 48191826 50755221 65356038 72287739 88351681 101510442 144575478 176703362 216863217 265055043 433726434 530110086 795165129 1590330258 2385495387 4770990774