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4946157756 = 2234293116981
BaseRepresentation
bin1001001101101000…
…00110000010111100
3110202201001211220000
410212310012002330
540112204022011
62134445154300
7233366435001
oct44664060274
913681054800
104946157756
112108a82591
12b6055b990
1360a959687
1434cc878a8
151de36d356
hex126d060bc

4946157756 has 120 divisors (see below), whose sum is σ = 13808403840. Its totient is φ = 1540425600.

The previous prime is 4946157677. The next prime is 4946157757. The reversal of 4946157756 is 6577516494.

4946157756 is a `hidden beast` number, since 4 + 9 + 4 + 61 + 577 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946157757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282786 + ... + 299766.

It is an arithmetic number, because the mean of its divisors is an integer number (115070032).

Almost surely, 24946157756 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 4946157756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904201920).

4946157756 is an abundant number, since it is smaller than the sum of its proper divisors (8862246084).

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

4946157756 is a wasteful number, since it uses less digits than its factorization.

4946157756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17057 (or 17046 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 4946157756 is about 70328.9254574531. The cubic root of 4946157756 is about 1703.8158524471.

The spelling of 4946157756 in words is "four billion, nine hundred forty-six million, one hundred fifty-seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 81 87 93 108 116 124 162 174 186 261 279 324 348 372 522 558 783 837 899 1044 1116 1566 1674 1798 2349 2511 2697 3132 3348 3596 4698 5022 5394 8091 9396 10044 10788 16182 16981 24273 32364 33962 48546 50943 67924 72819 97092 101886 145638 152829 203772 291276 305658 458487 492449 526411 611316 916974 984898 1052822 1375461 1477347 1579233 1833948 1969796 2105644 2750922 2954694 3158466 4432041 4737699 5501844 5909388 6316932 8864082 9475398 13296123 14213097 15265919 17728164 18950796 26592246 28426194 30531838 39888369 42639291 45797757 53184492 56852388 61063676 79776738 85278582 91595514 137393271 159553476 170557164 183191028 274786542 412179813 549573084 824359626 1236539439 1648719252 2473078878 4946157756