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30027770544 = 24319831732293
BaseRepresentation
bin11011111101110010…
…110110101010110000
32212111200112210101210
4123331302312222300
5442444102124134
621443343200120
72112054560352
oct337562665260
985450483353
1030027770544
11118099914a2
1259a02a6040
132aa7069385
14164bdd70d2
15bab2b22e9
hex6fdcb6ab0

30027770544 has 160 divisors (see below), whose sum is σ = 83152177920. Its totient is φ = 9309993984.

The previous prime is 30027770537. The next prime is 30027770557. The reversal of 30027770544 is 44507772003.

It is a super-2 number, since 2×300277705442 (a number of 22 digits) contains 22 as substring.

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, 13094262 + ... + 13096554.

It is an arithmetic number, because the mean of its divisors is an integer number (519701112).

Almost surely, 230027770544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30027770544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41576088960).

30027770544 is an abundant number, since it is smaller than the sum of its proper divisors (53124407376).

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

30027770544 is a wasteful number, since it uses less digits than its factorization.

30027770544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 39.

The spelling of 30027770544 in words is "thirty billion, twenty-seven million, seven hundred seventy thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 173 228 249 304 332 346 456 498 519 664 692 912 996 1038 1328 1384 1577 1992 2076 2293 2768 3154 3287 3984 4152 4586 4731 6308 6574 6879 8304 9172 9462 9861 12616 13148 13758 14359 18344 18924 19722 25232 26296 27516 28718 36688 37848 39444 43077 43567 52592 55032 57436 75696 78888 86154 87134 110064 114872 130701 157776 172308 174268 190319 229744 261402 272821 344616 348536 380638 396689 522804 545642 570957 689232 697072 761276 793378 818463 1045608 1091284 1141914 1190067 1522552 1586756 1636926 2091216 2182568 2283828 2380134 3045104 3173512 3273852 3616061 4365136 4567656 4760268 6347024 6547704 7232122 7537091 9135312 9520536 10848183 13095408 14464244 15074182 19041072 21696366 22611273 28928488 30148364 32925187 43392732 45222546 57856976 60296728 65850374 86785464 90445092 98775561 120593456 131700748 173570928 180890184 197551122 263401496 361780368 395102244 526802992 625578553 790204488 1251157106 1580408976 1876735659 2502314212 3753471318 5004628424 7506942636 10009256848 15013885272 30027770544