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27918950430 = 23572356310267
BaseRepresentation
bin11010000000000110…
…010110000000011110
32200001201102122001010
4122000012112000132
5424134222403210
620454212000050
72005600106640
oct320006260036
980051378033
1027918950430
1110927579758
1254b2000026
13282c1b0a17
1414cbcd2890
15ad60a6920
hex68019601e

27918950430 has 128 divisors (see below), whose sum is σ = 80056885248. Its totient is φ = 6092583552.

The previous prime is 27918950419. The next prime is 27918950459. The reversal of 27918950430 is 3405981972.

It is a super-2 number, since 2×279189504302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27918950430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2714157 + ... + 2724423.

It is an arithmetic number, because the mean of its divisors is an integer number (625444416).

Almost surely, 227918950430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27918950430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40028442624).

27918950430 is an abundant number, since it is smaller than the sum of its proper divisors (52137934818).

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

27918950430 is a wasteful number, since it uses less digits than its factorization.

27918950430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10870.

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 27918950430 in words is "twenty-seven billion, nine hundred eighteen million, nine hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 563 690 805 966 1126 1610 1689 2415 2815 3378 3941 4830 5630 7882 8445 10267 11823 12949 16890 19705 20534 23646 25898 30801 38847 39410 51335 59115 61602 64745 71869 77694 90643 102670 118230 129490 143738 154005 181286 194235 215607 236141 271929 308010 359345 388470 431214 453215 472282 543858 708423 718690 906430 1078035 1180705 1359645 1416846 1652987 2156070 2361410 2719290 3305974 3542115 4958961 5780321 7084230 8264935 9917922 11560642 16529870 17340963 24794805 28901605 34681926 40462247 49589610 57803210 80924494 86704815 121386741 132947383 173409630 202311235 242773482 265894766 398842149 404622470 606933705 664736915 797684298 930631681 1213867410 1329473830 1861263362 1994210745 2791895043 3988421490 4653158405 5583790086 9306316810 13959475215 27918950430