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70944127680 = 2635278926497
BaseRepresentation
bin100001000010010011…
…0010111101011000000
320210010012220002120110
41002010212113223000
52130243144041210
652331414511320
75061030064326
oct1020446275300
9223105802513
1070944127680
11280a6124188
12118bb065540
1368c7c2159a
14361017bd16
151ca3457420
hex1084997ac0

70944127680 has 112 divisors (see below), whose sum is σ = 225336872160. Its totient is φ = 18910937088.

The previous prime is 70944127669. The next prime is 70944127697. The reversal of 70944127680 is 8672144907.

It is a super-2 number, since 2×709441276802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2664192 + ... + 2690688.

Almost surely, 270944127680 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 70944127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112668436080).

70944127680 is an abundant number, since it is smaller than the sum of its proper divisors (154392744480).

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

70944127680 is a wasteful number, since it uses less digits than its factorization.

70944127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29306 (or 29296 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 70944127680 in words is "seventy billion, nine hundred forty-four million, one hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2789 5578 8367 11156 13945 16734 22312 26497 27890 33468 41835 44624 52994 55780 66936 79491 83670 89248 105988 111560 132485 133872 158982 167340 178496 211976 223120 264970 267744 317964 334680 397455 423952 446240 529940 535488 635928 669360 794910 847904 892480 1059880 1271856 1338720 1589820 1695808 2119760 2543712 2677440 3179640 4239520 5087424 6359280 8479040 12718560 25437120 73900133 147800266 221700399 295600532 369500665 443400798 591201064 739001330 886801596 1108501995 1182402128 1478002660 1773603192 2217003990 2364804256 2956005320 3547206384 4434007980 4729608512 5912010640 7094412768 8868015960 11824021280 14188825536 17736031920 23648042560 35472063840 70944127680