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6996023136 = 253419142057
BaseRepresentation
bin1101000001111111…
…01101011101100000
3200001120020210120000
412200333231131200
5103311440220021
63114113020000
7335240133624
oct64077553540
920046223500
106996023136
112a70088803
121432b54600
13876542a7b
144a5203184
152ae2d0b26
hex1a0fed760

6996023136 has 120 divisors (see below), whose sum is σ = 21658162680. Its totient is φ = 2209254912.

The previous prime is 6996023093. The next prime is 6996023197. The reversal of 6996023136 is 6313206996.

It is a happy number.

6996023136 is a `hidden beast` number, since 6 + 9 + 9 + 602 + 3 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6996023091 and 6996023100.

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, 21781 + ... + 120276.

It is an arithmetic number, because the mean of its divisors is an integer number (180484689).

Almost surely, 26996023136 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 6996023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829081340).

6996023136 is an abundant number, since it is smaller than the sum of its proper divisors (14662139544).

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

6996023136 is a wasteful number, since it uses less digits than its factorization.

6996023136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142098 (or 142081 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 6996023136 is about 83642.2329687581. The cubic root of 6996023136 is about 1912.5688538071.

It can be divided in two parts, 69960 and 23136, that added together give a triangular number (93096 = T431).

The spelling of 6996023136 in words is "six billion, nine hundred ninety-six million, twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 142057 284114 426171 568228 852342 1136456 1278513 1704684 2272912 2557026 2699083 3409368 3835539 4545824 5114052 5398166 6818736 7671078 8097249 10228104 10796332 11506617 13637472 15342156 16194498 20456208 21592664 23013234 24291747 30684312 32388996 40912416 43185328 46026468 48583494 61368624 64777992 72875241 86370656 92052936 97166988 122737248 129555984 145750482 184105872 194333976 218625723 259111968 291500964 368211744 388667952 437251446 583001928 777335904 874502892 1166003856 1749005784 2332007712 3498011568 6996023136