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10556620152 = 2331331711777
BaseRepresentation
bin10011101010011100…
…10011110101111000
31000020201010212102120
421311032103311320
5133104443321102
64503305001240
7522413535141
oct116516236570
930221125376
1010556620152
114527a33a71
122067483220
13cc3108000
14722056ac8
1541bbac6bc
hex275393d78

10556620152 has 128 divisors (see below), whose sum is σ = 30274171200. Its totient is φ = 3056861184.

The previous prime is 10556620103. The next prime is 10556620159. The reversal of 10556620152 is 25102665501.

It is a super-2 number, since 2×105566201522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556620159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890488 + ... + 902264.

Almost surely, 210556620152 is an apocalyptic number.

10556620152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10556620152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137085600).

10556620152 is an abundant number, since it is smaller than the sum of its proper divisors (19717551048).

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

10556620152 is a wasteful number, since it uses less digits than its factorization.

10556620152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 10556620152 in words is "ten billion, five hundred fifty-six million, six hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 169 204 221 312 338 408 442 507 663 676 884 1014 1326 1352 1768 2028 2197 2652 2873 4056 4394 5304 5746 6591 8619 8788 11492 11777 13182 17238 17576 22984 23554 26364 34476 35331 37349 47108 52728 68952 70662 74698 94216 112047 141324 149396 153101 200209 224094 282648 298792 306202 400418 448188 459303 600627 612404 800836 896376 918606 1201254 1224808 1601672 1837212 1990313 2402508 2602717 3674424 3980626 4805016 5205434 5970939 7808151 7961252 10410868 11941878 15616302 15922504 20821736 23883756 25874069 31232604 33835321 47767512 51748138 62465208 67670642 77622207 101505963 103496276 135341284 155244414 203011926 206992552 270682568 310488828 406023852 439859173 620977656 812047704 879718346 1319577519 1759436692 2639155038 3518873384 5278310076 10556620152