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55085008472 = 231317415231453
BaseRepresentation
bin110011010011010100…
…101000011001011000
312021011222011100212222
4303103110220121120
51400303230232342
641150010523212
73660025563224
oct632324503130
9167158140788
1055085008472
11213a806219a
12a813a36508
13526b3c3590
142947bdd784
151675edded2
hexcd3528658

55085008472 has 128 divisors (see below), whose sum is σ = 120958608960. Its totient is φ = 23284039680.

The previous prime is 55085008471. The next prime is 55085008493. The reversal of 55085008472 is 27480058055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55085008471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37910498 + ... + 37911950.

Almost surely, 255085008472 is an apocalyptic number.

55085008472 is a gapful number since it is divisible by the number (52) 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 55085008472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60479304480).

55085008472 is an abundant number, since it is smaller than the sum of its proper divisors (65873600488).

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

55085008472 is a wasteful number, since it uses less digits than its factorization.

55085008472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 55085008472 in words is "fifty-five billion, eighty-five million, eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 328 442 523 533 697 884 1046 1066 1394 1453 1768 2092 2132 2788 2906 4184 4264 5576 5812 6799 8891 9061 11624 13598 17782 18122 18889 21443 24701 27196 35564 36244 37778 42886 49402 54392 59573 71128 72488 75556 85772 98804 115583 119146 151112 171544 197608 231166 238292 278759 321113 364531 462332 476584 557518 642226 729062 759919 774449 924664 1012741 1115036 1284452 1458124 1519838 1548898 2025482 2230072 2568904 2916248 3039676 3097796 4050964 4738903 6079352 6195592 8101928 9477806 9878947 12918623 13165633 18955612 19757894 25837246 26331266 31156679 37911224 39515788 51674492 52662532 62313358 79031576 103348984 105325064 124626716 167942099 249253432 335884198 405036827 529663543 671768396 810073654 1059327086 1343536792 1620147308 2118654172 3240294616 4237308344 6885626059 13771252118 27542504236 55085008472