Search a number
-
+
78247241268672 = 2637236892457667
BaseRepresentation
bin10001110010101001011011…
…000001010011110111000000
3101021001100210210001221211210
4101302221123001103313000
540224000322231044142
6434230141510010120
722324114403534460
oct2162513301236700
9337040723057753
1078247241268672
1122a28517881963
128938a0a946940
1334878b5c7b938
141547288395ba0
1590a5cc48d49c
hex472a5b053dc0

78247241268672 has 112 divisors (see below), whose sum is σ = 236614837594880. Its totient is φ = 22355401807872.

The previous prime is 78247241268649. The next prime is 78247241268701. The reversal of 78247241268672 is 27686214274287.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×782472412686722 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30609183 + ... + 33066849.

Almost surely, 278247241268672 is an apocalyptic number.

It is an amenable number.

78247241268672 is an abundant number, since it is smaller than the sum of its proper divisors (158367596326208).

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

78247241268672 is a wasteful number, since it uses less digits than its factorization.

78247241268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481378 (or 2481368 counting only the distinct ones).

The product of its digits is 202309632, while the sum is 66.

The spelling of 78247241268672 in words is "seventy-eight trillion, two hundred forty-seven billion, two hundred forty-one million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 23689 47378 71067 94756 142134 165823 189512 284268 331646 379024 497469 568536 663292 758048 994938 1137072 1326584 1516096 1989876 2274144 2457667 2653168 3979752 4548288 4915334 5306336 7373001 7959504 9830668 10612672 14746002 15919008 17203669 19661336 29492004 31838016 34407338 39322672 51611007 58984008 68814676 78645344 103222014 117968016 137629352 157290688 206444028 235936032 275258704 412888056 471872064 550517408 825776112 1101034816 1651552224 3303104448 58219673563 116439347126 174659020689 232878694252 349318041378 407537714941 465757388504 698636082756 815075429882 931514777008 1222613144823 1397272165512 1630150859764 1863029554016 2445226289646 2794544331024 3260301719528 3726059108032 4890452579292 5589088662048 6520603439056 9780905158584 11178177324096 13041206878112 19561810317168 26082413756224 39123620634336 78247241268672