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378219963816 = 233343220718451
BaseRepresentation
bin1011000000011111010…
…10101010010110101000
31100011020210120220011000
411200033222222112220
522144043302320231
6445430222235000
736216433435152
oct5401752522650
91304223526130
10378219963816
111364473448a2
1261375125a60
1329887243476
141443d71dad2
159c897696e6
hex580faaa5a8

378219963816 has 128 divisors (see below), whose sum is σ = 1075589222400. Its totient is φ = 123078916800.

The previous prime is 378219963791. The next prime is 378219963857. The reversal of 378219963816 is 618369912873.

378219963816 is a `hidden beast` number, since 37 + 8 + 219 + 9 + 6 + 381 + 6 = 666.

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, 20489391 + ... + 20507841.

It is an arithmetic number, because the mean of its divisors is an integer number (8403040800).

Almost surely, 2378219963816 is an apocalyptic number.

378219963816 is a gapful number since it is divisible by the number (36) 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 378219963816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537794611200).

378219963816 is an abundant number, since it is smaller than the sum of its proper divisors (697369258584).

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

378219963816 is a wasteful number, since it uses less digits than its factorization.

378219963816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716 (or 20706 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 378219963816 in words is "three hundred seventy-eight billion, two hundred nineteen million, nine hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2207 2322 3096 4414 4644 6621 8828 9288 13242 17656 18451 19863 26484 36902 39726 52968 55353 59589 73804 79452 94901 110706 119178 147608 158904 166059 189802 221412 238356 284703 332118 379604 442824 476712 498177 569406 664236 759208 793393 854109 996354 1138812 1328472 1586786 1708218 1992708 2277624 2380179 2562327 3173572 3416436 3985416 4760358 5124654 6347144 6832872 7140537 9520716 10249308 14281074 19041432 20498616 21421611 28562148 40721357 42843222 57124296 81442714 85686444 122164071 162885428 171372888 244328142 325770856 366492213 488656284 732984426 977312568 1099476639 1465968852 1751018351 2198953278 2931937704 3502036702 4397906556 5253055053 7004073404 8795813112 10506110106 14008146808 15759165159 21012220212 31518330318 42024440424 47277495477 63036660636 94554990954 126073321272 189109981908 378219963816