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2693812992 = 283132311731
BaseRepresentation
bin1010000010010000…
…0101001100000000
320221201212212201120
42200210011030000
521004104003432
61123145432240
7123520014123
oct24044051400
96851785646
102693812992
111162650632
1263219b680
1333c12b5b0
141b7aa23ba
1510b761c2c
hexa0905300

2693812992 has 144 divisors (see below), whose sum is σ = 8057349888. Its totient is φ = 792760320.

The previous prime is 2693812991. The next prime is 2693812997. The reversal of 2693812992 is 2992183962.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2693812991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223767 + ... + 235497.

Almost surely, 22693812992 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 2693812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028674944).

2693812992 is an abundant number, since it is smaller than the sum of its proper divisors (5363536896).

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

2693812992 is a wasteful number, since it uses less digits than its factorization.

2693812992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11786 (or 11772 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 2693812992 is about 51901.9555700939. The cubic root of 2693812992 is about 1391.4122237696.

The spelling of 2693812992 in words is "two billion, six hundred ninety-three million, eight hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 552 598 624 736 768 832 897 1104 1196 1248 1472 1664 1794 2208 2392 2496 2944 3328 3588 4416 4784 4992 5888 7176 8832 9568 9984 11731 14352 17664 19136 23462 28704 35193 38272 46924 57408 70386 76544 93848 114816 140772 152503 187696 229632 269813 281544 305006 375392 457509 539626 563088 610012 750784 809439 915018 1079252 1126176 1220024 1501568 1618878 1830036 2158504 2252352 2440048 3003136 3237756 3507569 3660072 4317008 4504704 4880096 6475512 7015138 7320144 8634016 9009408 9760192 10522707 12951024 14030276 14640288 17268032 19520384 21045414 25902048 28060552 29280576 34536064 39040768 42090828 51804096 56121104 58561152 69072128 84181656 103608192 112242208 117122304 168363312 207216384 224484416 336726624 448968832 673453248 897937664 1346906496 2693812992