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168215117436 = 223217617957037
BaseRepresentation
bin1001110010101001100…
…1101111111001111100
3121002012012102100112200
42130222121233321330
510224001032224221
6205135453431500
715103345622622
oct2345231577174
9532165370480
10168215117436
1165381059513
1228726a9b590
1312b2a22ac62
1481da9b7512
154597ccb426
hex272a66fe7c

168215117436 has 144 divisors (see below), whose sum is σ = 463404090240. Its totient is φ = 51250268160.

The previous prime is 168215117401. The next prime is 168215117443. The reversal of 168215117436 is 634711512861.

168215117436 is a `hidden beast` number, since 1 + 68 + 2 + 1 + 511 + 74 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 168215117391 and 168215117400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920710 + ... + 2977746.

It is an arithmetic number, because the mean of its divisors is an integer number (3218083960).

Almost surely, 2168215117436 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 168215117436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231702045120).

168215117436 is an abundant number, since it is smaller than the sum of its proper divisors (295188972804).

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

168215117436 is a wasteful number, since it uses less digits than its factorization.

168215117436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57204 (or 57199 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 168215117436 in words is "one hundred sixty-eight billion, two hundred fifteen million, one hundred seventeen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 79 102 122 153 158 183 204 237 244 306 316 366 474 549 612 711 732 948 1037 1098 1343 1422 2074 2196 2686 2844 3111 4029 4148 4819 5372 6222 8058 9333 9638 12087 12444 14457 16116 18666 19276 24174 28914 37332 43371 48348 57037 57828 81923 86742 114074 163846 171111 173484 228148 245769 327692 342222 491538 513333 684444 737307 969629 983076 1026666 1474614 1939258 2053332 2908887 2949228 3479257 3878516 4505923 5817774 6958514 8726661 9011846 10437771 11635548 13517769 13917028 17453322 18023692 20875542 27035538 31313313 34906644 40553307 41751084 54071076 59147369 62626626 76600691 81106614 118294738 125253252 153201382 162213228 177442107 229802073 236589476 274861303 306402764 354884214 459604146 532326321 549722606 689406219 709768428 824583909 919208292 1064652642 1099445212 1378812438 1649167818 2129305284 2473751727 2757624876 3298335636 4672642151 4947503454 9345284302 9895006908 14017926453 18690568604 28035852906 42053779359 56071705812 84107558718 168215117436