Search a number
-
+
46925949056 = 277473113583
BaseRepresentation
bin101011101101000000…
…010010100010000000
311111010100110012111012
4223231000102202000
51232101020332211
633320225540052
73250603662050
oct535500224200
9144110405435
1046925949056
11189a0525088
1291174a4628
13456ac2bb7c
1423b236d560
151349a74d8b
hexaed012880

46925949056 has 128 divisors (see below), whose sum is σ = 109494927360. Its totient is φ = 19614458880.

The previous prime is 46925949053. The next prime is 46925949089. The reversal of 46925949056 is 65094952964.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×469259490562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46925948986 and 46925949004.

It is not an unprimeable number, because it can be changed into a prime (46925949053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13095041 + ... + 13098623.

It is an arithmetic number, because the mean of its divisors is an integer number (855429120).

Almost surely, 246925949056 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 46925949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54747463680).

46925949056 is an abundant number, since it is smaller than the sum of its proper divisors (62568978304).

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

46925949056 is a wasteful number, since it uses less digits than its factorization.

46925949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 59.

The spelling of 46925949056 in words is "forty-six billion, nine hundred twenty-five million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 311 329 376 448 622 658 752 896 1244 1316 1504 2177 2488 2632 3008 3583 4354 4976 5264 6016 7166 8708 9952 10528 14332 14617 17416 19904 21056 25081 28664 29234 34832 39808 42112 50162 57328 58468 69664 100324 102319 114656 116936 139328 168401 200648 204638 229312 233872 278656 336802 401296 409276 458624 467744 673604 802592 818552 935488 1114313 1178807 1347208 1605184 1637104 1870976 2228626 2357614 2694416 3210368 3274208 4457252 4715228 5388832 6548416 7800191 8914504 9430456 10777664 13096832 15600382 17829008 18860912 21555328 31200764 35658016 37721824 52372711 62401528 71316032 75443648 104745422 124803056 142632064 150887296 209490844 249606112 366608977 418981688 499212224 733217954 837963376 998424448 1466435908 1675926752 2932871816 3351853504 5865743632 6703707008 11731487264 23462974528 46925949056