Search a number
-
+
70472157480153 = 32111337299140361
BaseRepresentation
bin10000000001100000010011…
…111010011100010011011001
3100020112001221211012221001100
4100001200103322130103121
533214103434303331103
6405514243500542013
720562305521011222
oct2001402372342331
9306461854187040
1070472157480153
112050008a768340
127aa1b86b51909
13304265a754560
141358c28db0249
1582322111d5a3
hex401813e9c4d9

70472157480153 has 144 divisors (see below), whose sum is σ = 123035682212352. Its totient is φ = 38319785856000.

The previous prime is 70472157480083. The next prime is 70472157480157. The reversal of 70472157480153 is 35108475127407.

70472157480153 is a `hidden beast` number, since 7 + 0 + 4 + 7 + 2 + 1 + 5 + 7 + 480 + 153 = 666.

It is not a de Polignac number, because 70472157480153 - 221 = 70472155383001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 70472157480153.

It is not an unprimeable number, because it can be changed into a prime (70472157480157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1746025693 + ... + 1746066053.

It is an arithmetic number, because the mean of its divisors is an integer number (854414459808).

Almost surely, 270472157480153 is an apocalyptic number.

It is an amenable number.

70472157480153 is a deficient number, since it is larger than the sum of its proper divisors (52563524732199).

70472157480153 is a wasteful number, since it uses less digits than its factorization.

70472157480153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41456 (or 41416 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 70472157480153 in words is "seventy trillion, four hundred seventy-two billion, one hundred fifty-seven million, four hundred eighty thousand, one hundred fifty-three".

Divisors: 1 3 9 11 13 33 37 39 99 111 117 143 333 407 429 481 991 1221 1287 1369 1443 2973 3663 4107 4329 5291 8919 10901 12321 12883 15059 15873 17797 32703 36667 38649 40361 45177 47619 53391 98109 110001 115947 121083 135531 141713 160173 195767 330003 363249 403337 425139 443971 476671 524693 587301 1210011 1275417 1331913 1356679 1430013 1493357 1574079 1761903 3630033 3995739 4070037 4290039 4480071 4722237 5243381 5771623 12210111 13440213 14923469 15730143 16426927 17314869 17636827 19413641 39997751 44770407 47190429 49280781 51944607 52910481 55254209 58240923 119993253 134311221 147842343 158731443 165762627 174722769 194005097 213550051 359979759 439975261 497287881 519970763 582015291 607796299 640650153 718304717 1319925783 1479916787 1559912289 1746045873 1823388897 1921950459 2154914151 3959777349 4439750361 4679736867 5470166691 5719678393 6464742453 7901351887 13319251083 16279084657 17159035179 19238918231 23704055661 48837253971 51477105537 54756921119 57716754693 71112166983 146511761913 164270763357 173150264079 211628100541 492812290071 602326132309 634884301623 711839974547 1806978396927 1904652904869 2135519923641 5420935190781 6406559770923 7830239720017 23490719160051 70472157480153