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4764743152 = 2413293183307
BaseRepresentation
bin1000111000000000…
…00011010111110000
3110022001201000211121
410130000003113300
534224233240102
62104444552024
7226034435311
oct43400032760
913261630747
104764743152
112025634064
12b0b852614
135ac1ab960
14332b42608
151cd485b37
hex11c0035f0

4764743152 has 160 divisors (see below), whose sum is σ = 10779310080. Its totient is φ = 2023418880.

The previous prime is 4764743147. The next prime is 4764743161. The reversal of 4764743152 is 2513474674.

It is a junction number, because it is equal to n+sod(n) for n = 4764743099 and 4764743108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15520183 + ... + 15520489.

It is an arithmetic number, because the mean of its divisors is an integer number (67370688).

Almost surely, 24764743152 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 4764743152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389655040).

4764743152 is an abundant number, since it is smaller than the sum of its proper divisors (6014566928).

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

4764743152 is a wasteful number, since it uses less digits than its factorization.

4764743152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 564480, while the sum is 43.

The square root of 4764743152 is about 69027.1189605940. The cubic root of 4764743152 is about 1682.7250690567.

The spelling of 4764743152 in words is "four billion, seven hundred sixty-four million, seven hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 83 104 116 124 166 208 232 248 307 332 377 403 464 496 614 664 754 806 899 1079 1228 1328 1508 1612 1798 2158 2407 2456 2573 3016 3224 3596 3991 4316 4814 4912 5146 6032 6448 7192 7982 8632 8903 9517 9628 10292 11687 14384 15964 17264 17806 19034 19256 20584 23374 25481 31291 31928 33449 35612 38068 38512 41168 46748 50962 62582 63856 66898 71224 74617 76136 93496 101924 115739 123721 125164 133796 142448 149234 152272 186992 203848 231478 247442 250328 267592 275993 298468 331253 407696 462956 494884 500656 535184 551986 596936 662506 738949 789911 925912 970021 989768 1103972 1193872 1325012 1477898 1579822 1851824 1940042 1979536 2207944 2650024 2955796 3159644 3587909 3880084 4415888 5300048 5911592 6319288 7175818 7760168 9606337 10268843 11823184 12638576 14351636 15520336 19212674 20537686 22907419 28703272 38425348 41075372 45814838 57406544 76850696 82150744 91629676 153701392 164301488 183259352 297796447 366518704 595592894 1191185788 2382371576 4764743152