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71444680704 = 212321999739
BaseRepresentation
bin100001010001001101…
…1110101000000000000
320211102002202211020100
41002202123311000000
52132304314240304
652453215242400
75106315523515
oct1024233650000
9224362684210
1071444680704
1128332729071
1211a1a819400
13697783b2c7
14365a83930c
151cd237e439
hex10a26f5000

71444680704 has 156 divisors (see below), whose sum is σ = 207428884000. Its totient is φ = 23692787712.

The previous prime is 71444680687. The next prime is 71444680711. The reversal of 71444680704 is 40708644417.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71444680704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7331067 + ... + 7340805.

Almost surely, 271444680704 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 71444680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103714442000).

71444680704 is an abundant number, since it is smaller than the sum of its proper divisors (135984203296).

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

71444680704 is a wasteful number, since it uses less digits than its factorization.

71444680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 71444680704 in words is "seventy-one billion, four hundred forty-four million, six hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1024 1152 1194 1536 1592 1791 2048 2304 2388 3072 3184 3582 4096 4608 4776 6144 6368 7164 9216 9552 9739 12288 12736 14328 18432 19104 19478 25472 28656 29217 36864 38208 38956 50944 57312 58434 76416 77912 87651 101888 114624 116868 152832 155824 175302 203776 229248 233736 305664 311648 350604 407552 458496 467472 611328 623296 701208 815104 916992 934944 1222656 1246592 1402416 1833984 1869888 1938061 2445312 2493184 2804832 3667968 3739776 3876122 4986368 5609664 5814183 7335936 7479552 7752244 9972736 11219328 11628366 14959104 15504488 17442549 19945472 22438656 23256732 29918208 31008976 34885098 39890944 44877312 46513464 59836416 62017952 69770196 89754624 93026928 119672832 124035904 139540392 179509248 186053856 248071808 279080784 359018496 372107712 496143616 558161568 744215424 992287232 1116323136 1488430848 1984574464 2232646272 2976861696 3969148928 4465292544 5953723392 7938297856 8930585088 11907446784 17861170176 23814893568 35722340352 71444680704