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255620026552 = 23111910114910159
BaseRepresentation
bin1110111000010000100…
…1000001000010111000
3220102210121011210012211
43232010021001002320
513142002211322202
6313232532144504
724316334242552
oct3560411010270
9812717153184
10255620026552
11994539283a0
124165a768134
131b1495088a7
14c52cd904d2
1569b13e71d7
hex3b842410b8

255620026552 has 128 divisors (see below), whose sum is σ = 559612800000. Its totient is φ = 108243648000.

The previous prime is 255620026549. The next prime is 255620026589.

It is a happy number.

255620026552 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2556200265523 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25156849 + ... + 25167007.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975000).

Almost surely, 2255620026552 is an apocalyptic number.

255620026552 is a gapful number since it is divisible by the number (22) 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 255620026552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279806400000).

255620026552 is an abundant number, since it is smaller than the sum of its proper divisors (303992773448).

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

255620026552 is a wasteful number, since it uses less digits than its factorization.

255620026552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 255620026552 in words is "two hundred fifty-five billion, six hundred twenty million, twenty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 149 152 202 209 298 404 418 596 808 836 1111 1192 1639 1672 1919 2222 2831 3278 3838 4444 5662 6556 7676 8888 10159 11324 13112 15049 15352 20318 21109 22648 30098 31141 40636 42218 60196 62282 81272 84436 111749 120392 124564 165539 168872 193021 223498 249128 285931 331078 386042 446996 571862 662156 772084 893992 1026059 1143724 1324312 1513691 1544168 2052118 2123231 2287448 3027382 3145241 4104236 4246462 6054764 6290482 8208472 8492924 11286649 12109528 12580964 16650601 16985848 19495121 22573298 25161928 28760129 33301202 38990242 45146596 57520258 66602404 77980484 90293192 115040516 133204808 152882791 155960968 214446331 230081032 305765582 316361419 428892662 611531164 632722838 857785324 1223062328 1265445676 1681710701 1715570648 2530891352 2904773029 3363421402 5809546058 6726842804 11619092116 13453685608 23238184232 31952503319 63905006638 127810013276 255620026552