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70976124340 = 225112241121697
BaseRepresentation
bin100001000011010000…
…0011011010110110100
320210012110002200201221
41002012200123112310
52130324341434330
652334520400124
75061566050132
oct1020640332664
9223173080657
1070976124340
1128112198800
1211909916044
136901745314
14361450a752
151ca6177b7a
hex108681b5b4

70976124340 has 72 divisors (see below), whose sum is σ = 164512816776. Its totient is φ = 25702195200.

The previous prime is 70976124311. The next prime is 70976124341. The reversal of 70976124340 is 4342167907.

It can be written as a sum of positive squares in 4 ways, for example, as 16768178064 + 54207946276 = 129492^2 + 232826^2 .

It is a super-2 number, since 2×709761243402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70976124341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522372 + ... + 644068.

It is an arithmetic number, because the mean of its divisors is an integer number (2284900233).

Almost surely, 270976124340 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 70976124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82256408388).

70976124340 is an abundant number, since it is smaller than the sum of its proper divisors (93536692436).

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

70976124340 is a wasteful number, since it uses less digits than its factorization.

70976124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121969 (or 121956 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 70976124340 in words is "seventy billion, nine hundred seventy-six million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 241 242 482 484 605 964 1205 1210 2410 2420 2651 4820 5302 10604 13255 26510 29161 53020 58322 116644 121697 145805 243394 291610 486788 583220 608485 1216970 1338667 2433940 2677334 5354668 6693335 13386670 14725337 26773340 29328977 29450674 58657954 58901348 73626685 117315908 146644885 147253370 293289770 294506740 322618747 586579540 645237494 1290474988 1613093735 3226187470 3548806217 6452374940 7097612434 14195224868 17744031085 35488062170 70976124340