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55000135530 = 232517241149161
BaseRepresentation
bin110011001110010000…
…110111011101101010
312020222001110101002200
4303032100313131222
51400120013314110
641133335441030
73654645303234
oct631620673552
9166861411080
1055000135530
112136416296a
12a7ab526176
1352569481c2
14293a829254
15166d8266c0
hexcce43776a

55000135530 has 96 divisors (see below), whose sum is σ = 152041423248. Its totient is φ = 13746585600.

The previous prime is 55000135511. The next prime is 55000135549. The reversal of 55000135530 is 3553100055.

It is an interprime number because it is at equal distance from previous prime (55000135511) and next prime (55000135549).

It can be written as a sum of positive squares in 8 ways, for example, as 48049078401 + 6951057129 = 219201^2 + 83373^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55000135494 and 55000135503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294150 + ... + 443310.

Almost surely, 255000135530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55000135530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76020711624).

55000135530 is an abundant number, since it is smaller than the sum of its proper divisors (97041287718).

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

55000135530 is a wasteful number, since it uses less digits than its factorization.

55000135530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149432 (or 149429 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

Adding to 55000135530 its reverse (3553100055), we get a palindrome (58553235585).

The spelling of 55000135530 in words is "fifty-five billion, one hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 241 255 306 482 510 723 765 1205 1446 1530 2169 2410 3615 4097 4338 7230 8194 10845 12291 20485 21690 24582 36873 40970 61455 73746 122910 149161 184365 298322 368730 447483 745805 894966 1342449 1491610 2237415 2535737 2684898 4474830 5071474 6712245 7607211 12678685 13424490 15214422 22821633 25357370 35947801 38036055 45643266 71895602 76072110 107843403 114108165 179739005 215686806 228216330 323530209 359478010 539217015 611112617 647060418 1078434030 1222225234 1617651045 1833337851 3055563085 3235302090 3666675702 5500013553 6111126170 9166689255 11000027106 18333378510 27500067765 55000135530