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106078148424 = 23331732838743
BaseRepresentation
bin110001011001011000…
…0000001011101001000
3101010210202202021102000
41202302300001131020
53214222001222144
6120422010511000
710443500245563
oct1426260013510
9333722667360
10106078148424
1140a95392a66
1218685435460
13a006b3ab81
1451c43b34da
152b5cb5c769
hex18b2c01748

106078148424 has 64 divisors (see below), whose sum is σ = 296364873600. Its totient is φ = 35154980928.

The previous prime is 106078148401. The next prime is 106078148443. The reversal of 106078148424 is 424841870601.

106078148424 is a `hidden beast` number, since 1 + 0 + 607 + 8 + 14 + 8 + 4 + 24 = 666.

It is a super-2 number, since 2×1060781484242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106078148424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382004 + ... + 1456739.

It is an arithmetic number, because the mean of its divisors is an integer number (4630701150).

Almost surely, 2106078148424 is an apocalyptic number.

It is an amenable number.

106078148424 is an abundant number, since it is smaller than the sum of its proper divisors (190286725176).

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

106078148424 is a wasteful number, since it uses less digits than its factorization.

106078148424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838931 (or 2838921 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 106078148424 in words is "one hundred six billion, seventy-eight million, one hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 519 692 1038 1384 1557 2076 3114 4152 4671 6228 9342 12456 18684 37368 2838743 5677486 8516229 11354972 17032458 22709944 25548687 34064916 51097374 68129832 76646061 102194748 153292122 204389496 306584244 491102539 613168488 982205078 1473307617 1964410156 2946615234 3928820312 4419922851 5893230468 8839845702 11786460936 13259768553 17679691404 26519537106 35359382808 53039074212 106078148424