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706465506133730 = 257191993701721219
BaseRepresentation
bin1010000010100001101101000…
…1100010100000011011100010
310102122101102221210200000011002
42200220123101202200123202
51220044212324032234410
610542305434554152002
7301543306552661420
oct24050332142403342
93378342853600132
10706465506133730
1119511337a770772
12672998b8722602
1324427546a2b665
14c665181c98110
1556a1bc81537a5
hex28286d18a06e2

706465506133730 has 128 divisors (see below), whose sum is σ = 1537894909440000. Its totient is φ = 228253380537600.

The previous prime is 706465506133697. The next prime is 706465506133733. The reversal of 706465506133730 is 37331605564607.

It is a super-2 number, since 2×7064655061337302 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (706465506133733) 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 63 ways as a sum of consecutive naturals, for example, 979183061 + ... + 979904279.

It is an arithmetic number, because the mean of its divisors is an integer number (12014803980000).

Almost surely, 2706465506133730 is an apocalyptic number.

706465506133730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

706465506133730 is an abundant number, since it is smaller than the sum of its proper divisors (831429403306270).

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

706465506133730 is a wasteful number, since it uses less digits than its factorization.

706465506133730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725152.

The product of its (nonzero) digits is 28576800, while the sum is 56.

The spelling of 706465506133730 in words is "seven hundred six trillion, four hundred sixty-five billion, five hundred six million, one hundred thirty-three thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 199 266 398 665 995 1330 1393 1990 2786 3701 3781 6965 7402 7562 13930 18505 18905 25907 26467 37010 37810 51814 52934 70319 129535 132335 140638 259070 264670 351595 492233 703190 721219 736499 984466 1442438 1472998 2461165 3606095 3682495 4922330 5048533 5155493 7212190 7364990 10097066 10310986 13703161 13993481 25242665 25777465 27406322 27986962 50485330 51554930 68515805 69967405 95922127 97954367 137031610 139934810 143522581 191844254 195908734 287045162 479610635 489771835 717612905 959221270 979543670 1004658067 1435225810 2009316134 2669231519 2726929039 5023290335 5338463038 5453858078 10046580670 13346157595 13634645195 18684620633 19088503273 26692315190 27269290390 37369241266 38177006546 50715398861 93423103165 95442516365 101430797722 186846206330 190885032730 253576994305 355007792027 507153988610 531177072281 710015584054 1062354144562 1775038960135 2655885361405 3550077920270 3718239505967 5311770722810 7436479011934 10092364373339 18591197529835 20184728746678 37182395059670 50461821866695 70646550613373 100923643733390 141293101226746 353232753066865 706465506133730