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103768435476 = 22341927162201
BaseRepresentation
bin110000010100100010…
…1001010101100010100
3100220211210121200220000
41200221011022230110
53200004204413401
6115400501411300
710332323101566
oct1405105125424
9326753550800
10103768435476
114000a638492
121813ba09b30
139a29474a14
145045737336
152a74ebd186
hex182914ab14

103768435476 has 120 divisors (see below), whose sum is σ = 286606911360. Its totient is φ = 32647536000.

The previous prime is 103768435471. The next prime is 103768435481. The reversal of 103768435476 is 674534867301.

It is a happy number.

103768435476 is a `hidden beast` number, since 1 + 0 + 37 + 68 + 4 + 3 + 547 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (103768435471) and next prime (103768435481).

It is a super-2 number, since 2×1037684354762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103768435471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1637176 + ... + 1699376.

It is an arithmetic number, because the mean of its divisors is an integer number (2388390928).

Almost surely, 2103768435476 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 103768435476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143303455680).

103768435476 is an abundant number, since it is smaller than the sum of its proper divisors (182838475884).

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

103768435476 is a wasteful number, since it uses less digits than its factorization.

103768435476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62507 (or 62496 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 103768435476 in words is "one hundred three billion, seven hundred sixty-eight million, four hundred thirty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 271 324 342 513 542 684 813 1026 1084 1539 1626 2052 2439 3078 3252 4878 5149 6156 7317 9756 10298 14634 15447 20596 21951 29268 30894 43902 46341 61788 62201 87804 92682 124402 139023 185364 186603 248804 278046 373206 417069 556092 559809 746412 834138 1119618 1181819 1668276 1679427 2239236 2363638 3358854 3545457 4727276 5038281 6717708 7090914 10076562 10636371 14181828 16856471 20153124 21272742 31909113 33712942 42545484 50569413 63818226 67425884 95727339 101138826 127636452 151708239 191454678 202277652 303416478 320272949 382909356 455124717 606832956 640545898 910249434 960818847 1281091796 1365374151 1820498868 1921637694 2730748302 2882456541 3843275388 5461496604 5764913082 8647369623 11529826164 17294739246 25942108869 34589478492 51884217738 103768435476