Search a number
-
+
70412346900 = 22335273725521
BaseRepresentation
bin100000110010011100…
…1110010011000010100
320201202011020211111000
41001210321302120110
52123201030100100
652202540543300
75041612034130
oct1014471623024
9221664224430
1070412346900
1127952a30435
1211790b51b30
1368419bcabc
14359d6b23c0
151c71912900
hex1064e72614

70412346900 has 144 divisors (see below), whose sum is σ = 258700247680. Its totient is φ = 16094246400.

The previous prime is 70412346887. The next prime is 70412346913. The reversal of 70412346900 is 964321407.

70412346900 is a `hidden beast` number, since 70 + 4 + 123 + 469 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70412346887) and next prime (70412346913).

It is a super-2 number, since 2×704123469002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843861 + ... + 1881660.

Almost surely, 270412346900 is an apocalyptic number.

70412346900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

70412346900 is an abundant number, since it is smaller than the sum of its proper divisors (188287900780).

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

70412346900 is a wasteful number, since it uses less digits than its factorization.

70412346900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725551 (or 3725538 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 70412346900 in words is "seventy billion, four hundred twelve million, three hundred forty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 3725521 7451042 11176563 14902084 18627605 22353126 26078647 33529689 37255210 44706252 52157294 55882815 67059378 74510420 78235941 93138025 100589067 104314588 111765630 130393235 134118756 156471882 167648445 186276050 201178134 223531260 234707823 260786470 279414075 312943764 335296890 372552100 391179705 402356268 469415646 502945335 521572940 558828150 651966175 670593780 704123469 782359410 838242225 938831292 1005890670 1117656300 1173539115 1303932350 1408246938 1564718820 1676484450 1955898525 2011781340 2347078230 2514726675 2607864700 2816493876 3352968900 3520617345 3911797050 4694156460 5029453350 5867695575 7041234690 7823594100 10058906700 11735391150 14082469380 17603086725 23470782300 35206173450 70412346900