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2139327936 = 2634563733
BaseRepresentation
bin111111110000011…
…1000110111000000
312112002112010020000
41333200320313000
513340131443221
6552141120000
7104004662454
oct17740706700
95462463200
102139327936
119a865a819
124b8559000
132812aa825
141641a6664
15c7c34e26
hex7f838dc0

2139327936 has 140 divisors (see below), whose sum is σ = 6361569192. Its totient is φ = 710871552.

The previous prime is 2139327917. The next prime is 2139327973. The reversal of 2139327936 is 6397239312.

It is a super-3 number, since 3×21393279363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2139327891 and 2139327900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2918226 + ... + 2918958.

Almost surely, 22139327936 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 2139327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180784596).

2139327936 is an abundant number, since it is smaller than the sum of its proper divisors (4222241256).

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

2139327936 is an equidigital number, since it uses as much as digits as its factorization.

2139327936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1301 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 2139327936 is about 46252.8694893625. The cubic root of 2139327936 is about 1288.5238279273.

The spelling of 2139327936 in words is "two billion, one hundred thirty-nine million, three hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 563 576 648 733 864 1126 1296 1466 1689 1728 2199 2252 2592 2932 3378 4398 4504 5067 5184 5864 6597 6756 8796 9008 10134 11728 13194 13512 15201 17592 18016 19791 20268 23456 26388 27024 30402 35184 36032 39582 40536 45603 46912 52776 54048 59373 60804 70368 79164 81072 91206 105552 108096 118746 121608 140736 158328 162144 182412 211104 237492 243216 316656 324288 364824 412679 422208 474984 486432 633312 729648 825358 949968 972864 1238037 1266624 1459296 1650716 1899936 2476074 2918592 3301432 3714111 3799872 4952148 6602864 7428222 9904296 11142333 13205728 14856444 19808592 22284666 26411456 29712888 33426999 39617184 44569332 59425776 66853998 79234368 89138664 118851552 133707996 178277328 237703104 267415992 356554656 534831984 713109312 1069663968 2139327936