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10335472703690 = 2517414097974549
BaseRepresentation
bin1001011001100110101000…
…1011011101100011001010
31100121001122212022100001212
42112121222023131203022
52323314022003004230
633552014533213122
72114466435312101
oct226315213354312
940531585270055
1010335472703690
113325281994662
1211ab100a911a2
1359c8280c6714
1427a34d469038
1512dcb1907895
hex9666a2dd8ca

10335472703690 has 128 divisors (see below), whose sum is σ = 20257807752000. Its totient is φ = 3781234851840.

The previous prime is 10335472703641. The next prime is 10335472703749. The reversal of 10335472703690 is 9630727453301.

10335472703690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 32148832+1.

It can be written as a sum of positive squares in 32 ways, for example, as 241756105969 + 10093716597721 = 491687^2 + 3177061^2 .

It is a super-2 number, since 2×103354727036902 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2272029536 + ... + 2272034084.

Almost surely, 210335472703690 is an apocalyptic number.

10335472703690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10335472703690 is a deficient number, since it is larger than the sum of its proper divisors (9922335048310).

10335472703690 is a wasteful number, since it uses less digits than its factorization.

10335472703690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 2857680, while the sum is 50.

The spelling of 10335472703690 in words is "ten trillion, three hundred thirty-five billion, four hundred seventy-two million, seven hundred three thousand, six hundred ninety".

Divisors: 1 2 5 10 17 34 41 82 85 170 205 409 410 697 797 818 1394 1594 2045 3485 3985 4090 4549 6953 6970 7970 9098 13549 13906 16769 22745 27098 32677 33538 34765 45490 65354 67745 69530 77333 83845 135490 154666 163385 167690 186509 285073 325973 326770 373018 386665 555509 570146 651946 773330 932545 1111018 1425365 1629865 1860541 1865090 2777545 2850730 3170653 3259730 3625553 3721082 5541541 5555090 6341306 7251106 9302705 11083082 13364893 15853265 18127765 18605410 26729786 27707705 31629197 31706530 36255530 55415410 61634401 63258394 66824465 76282181 123268802 133648930 148647673 152564362 158145985 227203181 297295346 308172005 316291970 381410905 454406362 616344010 743238365 762821810 1136015905 1296797077 1482851177 1486476730 2272031810 2527010441 2593594154 2965702354 5054020882 6483985385 7414255885 12635052205 12967970770 14828511770 25208470009 25270104410 50416940018 60796898257 121593796514 126042350045 252084700090 303984491285 607968982570 1033547270369 2067094540738 5167736351845 10335472703690