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27920404992 = 29343795351
BaseRepresentation
bin11010000000001011…
…111001001000000000
32200001211011112022210
4122000023321020000
5424140110424432
620454303102120
72005615345434
oct320013711000
980054145283
1027920404992
1110928382577
1254b25a1940
13282c59cacc
1414cc1909c4
15ad62928cc
hex6802f9200

27920404992 has 160 divisors (see below), whose sum is σ = 77089351680. Its totient is φ = 8973619200.

The previous prime is 27920404991. The next prime is 27920404999. The reversal of 27920404992 is 29940402972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27920404991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215117 + ... + 5220467.

It is an arithmetic number, because the mean of its divisors is an integer number (481808448).

Almost surely, 227920404992 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 27920404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38544675840).

27920404992 is an abundant number, since it is smaller than the sum of its proper divisors (49168946688).

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

27920404992 is an equidigital number, since it uses as much as digits as its factorization.

27920404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 27920404992 in words is "twenty-seven billion, nine hundred twenty million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 79 86 96 128 129 158 172 192 237 256 258 316 344 384 474 512 516 632 688 768 948 1032 1264 1376 1536 1896 2064 2528 2752 3397 3792 4128 5056 5351 5504 6794 7584 8256 10112 10191 10702 11008 13588 15168 16053 16512 20224 20382 21404 22016 27176 30336 32106 33024 40448 40764 42808 54352 60672 64212 66048 81528 85616 108704 121344 128424 163056 171232 217408 230093 256848 326112 342464 422729 434816 460186 513696 652224 684928 690279 845458 869632 920372 1027392 1268187 1304448 1369856 1380558 1690916 1739264 1840744 2054784 2536374 2608896 2739712 2761116 3381832 3681488 4109568 5072748 5217792 5522232 6763664 7362976 8219136 10145496 11044464 13527328 14725952 18177347 20290992 22088928 27054656 29451904 36354694 40581984 44177856 54109312 54532041 58903808 72709388 81163968 88355712 108218624 109064082 117807616 145418776 162327936 176711424 216437248 218128164 290837552 324655872 353422848 436256328 581675104 649311744 872512656 1163350208 1745025312 2326700416 3490050624 4653400832 6980101248 9306801664 13960202496 27920404992