Search a number
-
+
70785258432 = 2637173330391
BaseRepresentation
bin100000111101100100…
…0010101001111000000
320202201010221200221020
41001323020111033000
52124432011232212
652303541425440
75054060524560
oct1017310251700
9222633850836
1070785258432
1128024484389
1211875a0b280
1368a1038705
1435d7024da0
151c94524d8c
hex107b2153c0

70785258432 has 112 divisors (see below), whose sum is σ = 214171694592. Its totient is φ = 20212024320.

The previous prime is 70785258431. The next prime is 70785258433. The reversal of 70785258432 is 23485258707.

It is an interprime number because it is at equal distance from previous prime (70785258431) and next prime (70785258433).

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

It is a super-2 number, since 2×707852584322 (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 (70785258431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313957 + ... + 2344347.

Almost surely, 270785258432 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 70785258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107085847296).

70785258432 is an abundant number, since it is smaller than the sum of its proper divisors (143386436160).

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

70785258432 is a wasteful number, since it uses less digits than its factorization.

70785258432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32146 (or 32136 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 70785258432 in words is "seventy billion, seven hundred eighty-five million, two hundred fifty-eight thousand, four hundred thirty-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 1733 3466 5199 6932 10398 12131 13864 20796 24262 27728 30391 36393 41592 48524 55456 60782 72786 83184 91173 97048 110912 121564 145572 166368 182346 194096 212737 243128 291144 332736 364692 388192 425474 486256 582288 638211 729384 776384 850948 972512 1164576 1276422 1458768 1701896 1945024 2329152 2552844 2917536 3403792 5105688 5835072 6807584 10211376 13615168 20422752 40845504 52667603 105335206 158002809 210670412 316005618 368673221 421340824 632011236 737346442 842681648 1106019663 1264022472 1474692884 1685363296 2212039326 2528044944 2949385768 3370726592 4424078652 5056089888 5898771536 8848157304 10112179776 11797543072 17696314608 23595086144 35392629216 70785258432