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7374242106 = 2347112325703
BaseRepresentation
bin1101101111000101…
…00000000100111010
3201000220221022110000
412313202200010322
5110100301221411
63215423333430
7350512011060
oct66742400472
921026838400
107374242106
113144627270
121519751276
139069c938a
144dd538030
152d25e0956
hex1b78a013a

7374242106 has 160 divisors (see below), whose sum is σ = 21497591808. Its totient is φ = 1832038560.

The previous prime is 7374242101. The next prime is 7374242111. The reversal of 7374242106 is 6012424737.

It is an interprime number because it is at equal distance from previous prime (7374242101) and next prime (7374242111).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7374242101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274051 + ... + 299753.

Almost surely, 27374242106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7374242106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748795904).

7374242106 is an abundant number, since it is smaller than the sum of its proper divisors (14123349702).

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

7374242106 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 7374242106 = (3144627270)11.

7374242106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25758 (or 25749 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7374242106 is about 85873.4074437483. The cubic root of 7374242106 is about 1946.4315281694.

The spelling of 7374242106 in words is "seven billion, three hundred seventy-four million, two hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 81 99 126 138 154 161 162 189 198 207 231 253 297 322 378 414 462 483 506 567 594 621 693 759 891 966 1134 1242 1386 1449 1518 1771 1782 1863 2079 2277 2898 3542 3726 4158 4347 4554 5313 6237 6831 8694 10626 12474 13041 13662 15939 20493 25703 26082 31878 40986 47817 51406 77109 95634 143451 154218 179921 231327 282733 286902 359842 462654 539763 565466 591169 693981 848199 1079526 1182338 1387962 1619289 1696398 1773507 1979131 2081943 2544597 3238578 3547014 3958262 4138183 4163886 4857867 5089194 5320521 5937393 6502859 7633791 8276366 9715734 10641042 11874786 12414549 13005718 14573601 15267582 15961563 17812179 19508577 22901373 24829098 29147202 31923126 35624358 37243647 39017154 45520013 45802746 47884689 53436537 58525731 74487294 91040026 95769378 106873074 111730941 117051462 136560039 160309611 175577193 223461882 273120078 320619222 335192823 351154386 409680117 526731579 670385646 819360234 1053463158 1229040351 2458080702 3687121053 7374242106