Search a number
-
+
1979630378496 = 293515911381
BaseRepresentation
bin11100110011101011001…
…010100101111000000000
321000020202211210212100000
4130303223022211320000
5224413240334102441
64113232445200000
7263011041402321
oct34635312457000
97006684725300
101979630378496
116a3613815751
1227b7ba260000
131148a84234b4
146bb59470448
1536764a9e2b6
hex1cceb2a5e00

1979630378496 has 120 divisors (see below), whose sum is σ = 5924953138104. Its totient is φ = 659876751360.

The previous prime is 1979630378459. The next prime is 1979630378501. The reversal of 1979630378496 is 6948730369791.

1979630378496 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 63 + 0 + 3 + 78 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7831275 + ... + 8080106.

Almost surely, 21979630378496 is an apocalyptic number.

1979630378496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1979630378496 is an abundant number, since it is smaller than the sum of its proper divisors (3945322759608).

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

1979630378496 is an frugal number, since it uses more digits than its factorization.

1979630378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15911414 (or 15911386 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 1979630378496 in words is "one trillion, nine hundred seventy-nine billion, six hundred thirty million, three hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 41472 62208 124416 15911381 31822762 47734143 63645524 95468286 127291048 143202429 190936572 254582096 286404858 381873144 429607287 509164192 572809716 763746288 859214574 1018328384 1145619432 1288821861 1527492576 1718429148 2036656768 2291238864 2577643722 3054985152 3436858296 3866465583 4073313536 4582477728 5155287444 6109970304 6873716592 7732931166 8146627072 9164955456 10310574888 12219940608 13747433184 15465862332 18329910912 20621149776 24439881216 27494866368 30931724664 36659821824 41242299552 54989732736 61863449328 73319643648 82484599104 109979465472 123726898656 164969198208 219958930944 247453797312 329938396416 494907594624 659876792832 989815189248 1979630378496